Thermodynamics of AdS black holes in Einstein-Scalar gravity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-03

AUTHORS

H. Lü, C. N. Pope, Qiang Wen

ABSTRACT

We study the thermodynamics of n-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar hair can exist provided that the mass-squared of the scalar field is negative, and above the Breitenlohner-Freedman bound. We use the Wald procedure to derive the first law of thermodynamics for these black holes, showing how the scalar hair (or “charge”) contributes non-trivially in the expression. We show in general that a black hole mass can be deduced by isolating an integrable contribution to the (non-integrable) variation of the Hamiltonian arising in the Wald construction, and that this is consistent with the mass calculated using the renormalised holographic stress tensor and also, in those cases where it is defined, with the mass calculated using the conformal method of Ashtekar, Magnon and Das. Similar arguments can also be given for the smooth solitonic solutions in these theories. Neither the black hole nor the soliton solutions can be constructed explicitly, and we carry out a numerical analysis to demonstrate their existence and to provide approximate checks on some of our thermodynamic results. More... »

PAGES

165

References to SciGraph publications

  • 2004-07-23. Black holes with scalar hair and asymptotics in 𝒩 = 8 supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10. Exact asymptotically flat charged hairy black holes with a dilaton potential in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-04-27. Holographic description of AdS cosmologies in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-01-07. The CFT-interpolating black hole in three dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-06. Thermodynamics of Einstein-Proca AdS black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-12. A Stress Tensor for Anti-de Sitter Gravity in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2013-11. AdS dyonic black hole and its thermodynamics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-09. Charged dilatonic ads black holes and magnetic AdSD−2 × R2 vacua in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-01. Hairy planar black holes in higher dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-06. Exact black holes and universality in the backreaction of non-linear sigma models with a potential in (A)dS4. in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-12. Four-dimensional asymptotically AdS black holes with scalar hair in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-03. Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep03(2015)165

    DOI

    http://dx.doi.org/10.1007/jhep03(2015)165

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1013090085


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0201", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Astronomical and Space Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Beijing Normal University", 
              "id": "https://www.grid.ac/institutes/grid.20513.35", 
              "name": [
                "Department of Physics, Beijing Normal University, 100875, Beijing, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "L\u00fc", 
            "givenName": "H.", 
            "id": "sg:person.012136555175.11", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012136555175.11"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Cambridge", 
              "id": "https://www.grid.ac/institutes/grid.5335.0", 
              "name": [
                "George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, 77843, College Station, TX, U.S.A.", 
                "DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, CB3 OWA, Cambridge, U.K."
              ], 
              "type": "Organization"
            }, 
            "familyName": "Pope", 
            "givenName": "C. N.", 
            "id": "sg:person.07512552121.35", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07512552121.35"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Renmin University of China", 
              "id": "https://www.grid.ac/institutes/grid.24539.39", 
              "name": [
                "Department of Physics, Renmin University of China, 100872, Beijing, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Wen", 
            "givenName": "Qiang", 
            "id": "sg:person.07375153442.08", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07375153442.08"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.physletb.2013.11.013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000720979"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physletb.2014.01.056", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002673748"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.65.104007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005675203"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.65.104007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005675203"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2013)184", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006629360", 
              "https://doi.org/10.1007/jhep10(2013)184"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.60.046002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012286063"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.60.046002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012286063"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.60.104001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016697327"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.60.104001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016697327"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2013)112", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021705360", 
              "https://doi.org/10.1007/jhep09(2013)112"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep11(2013)033", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021820889", 
              "https://doi.org/10.1007/jhep11(2013)033"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2005/04/005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022498183", 
              "https://doi.org/10.1088/1126-6708/2005/04/005"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.70.044034", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022646958"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.70.044034", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022646958"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.89.044014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023219215"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.89.044014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023219215"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002200050764", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023248422", 
              "https://doi.org/10.1007/s002200050764"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.89.065003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024236792"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.89.065003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024236792"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/26/19/195011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025274811"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/26/19/195011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025274811"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.73.104036", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027560173"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.73.104036", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027560173"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/17/2/101", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030985299"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.50.846", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032503686"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.50.846", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032503686"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/1/4/002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040488265"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.68.044016", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040903479"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.68.044016", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040903479"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.94.221301", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041371380"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.94.221301", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041371380"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.84.024037", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041546546"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.84.024037", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041546546"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2013)021", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043464138", 
              "https://doi.org/10.1007/jhep12(2013)021"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2013)021", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043464138", 
              "https://doi.org/10.1007/jhep12(2013)021"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/01/010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043887266", 
              "https://doi.org/10.1088/1126-6708/2009/01/010"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2014)153", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044017878", 
              "https://doi.org/10.1007/jhep01(2014)153"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2004/07/051", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045266412", 
              "https://doi.org/10.1088/1126-6708/2004/07/051"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(99)00549-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045638082"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2014)109", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047956978", 
              "https://doi.org/10.1007/jhep06(2014)109"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.91.041501", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049181366"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.91.041501", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049181366"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.aop.2006.05.002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049780606"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/28/17/175004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050673038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002200100381", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051944080", 
              "https://doi.org/10.1007/s002200100381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.83.121502", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051977484"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.83.121502", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051977484"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2012)127", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052301315", 
              "https://doi.org/10.1007/jhep06(2012)127"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2015-03", 
        "datePublishedReg": "2015-03-01", 
        "description": "We study the thermodynamics of n-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar hair can exist provided that the mass-squared of the scalar field is negative, and above the Breitenlohner-Freedman bound. We use the Wald procedure to derive the first law of thermodynamics for these black holes, showing how the scalar hair (or \u201ccharge\u201d) contributes non-trivially in the expression. We show in general that a black hole mass can be deduced by isolating an integrable contribution to the (non-integrable) variation of the Hamiltonian arising in the Wald construction, and that this is consistent with the mass calculated using the renormalised holographic stress tensor and also, in those cases where it is defined, with the mass calculated using the conformal method of Ashtekar, Magnon and Das. Similar arguments can also be given for the smooth solitonic solutions in these theories. Neither the black hole nor the soliton solutions can be constructed explicitly, and we carry out a numerical analysis to demonstrate their existence and to provide approximate checks on some of our thermodynamic results.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep03(2015)165", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2015"
          }
        ], 
        "name": "Thermodynamics of AdS black holes in Einstein-Scalar gravity", 
        "pagination": "165", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "3e5ba7f3184e55a31d5dac4c4ad4cc664c1cdb4dffd8e14b06ee45f95d259112"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep03(2015)165"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1013090085"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep03(2015)165", 
          "https://app.dimensions.ai/details/publication/pub.1013090085"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T01:06", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8697_00000511.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2FJHEP03%282015%29165"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/jhep03(2015)165'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/jhep03(2015)165'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep03(2015)165'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep03(2015)165'


     

    This table displays all metadata directly associated to this object as RDF triples.

    193 TRIPLES      21 PREDICATES      60 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep03(2015)165 schema:about anzsrc-for:02
    2 anzsrc-for:0201
    3 schema:author N49432e8a78d4499d8171abbd40c621c3
    4 schema:citation sg:pub.10.1007/jhep01(2014)153
    5 sg:pub.10.1007/jhep06(2012)127
    6 sg:pub.10.1007/jhep06(2014)109
    7 sg:pub.10.1007/jhep09(2013)112
    8 sg:pub.10.1007/jhep10(2013)184
    9 sg:pub.10.1007/jhep11(2013)033
    10 sg:pub.10.1007/jhep12(2013)021
    11 sg:pub.10.1007/s002200050764
    12 sg:pub.10.1007/s002200100381
    13 sg:pub.10.1088/1126-6708/2004/07/051
    14 sg:pub.10.1088/1126-6708/2005/04/005
    15 sg:pub.10.1088/1126-6708/2009/01/010
    16 https://doi.org/10.1016/j.aop.2006.05.002
    17 https://doi.org/10.1016/j.physletb.2013.11.013
    18 https://doi.org/10.1016/j.physletb.2014.01.056
    19 https://doi.org/10.1016/s0550-3213(99)00549-0
    20 https://doi.org/10.1088/0264-9381/1/4/002
    21 https://doi.org/10.1088/0264-9381/17/2/101
    22 https://doi.org/10.1088/0264-9381/26/19/195011
    23 https://doi.org/10.1088/0264-9381/28/17/175004
    24 https://doi.org/10.1103/physrevd.50.846
    25 https://doi.org/10.1103/physrevd.60.046002
    26 https://doi.org/10.1103/physrevd.60.104001
    27 https://doi.org/10.1103/physrevd.65.104007
    28 https://doi.org/10.1103/physrevd.68.044016
    29 https://doi.org/10.1103/physrevd.70.044034
    30 https://doi.org/10.1103/physrevd.73.104036
    31 https://doi.org/10.1103/physrevd.83.121502
    32 https://doi.org/10.1103/physrevd.84.024037
    33 https://doi.org/10.1103/physrevd.89.044014
    34 https://doi.org/10.1103/physrevd.89.065003
    35 https://doi.org/10.1103/physrevd.91.041501
    36 https://doi.org/10.1103/physrevlett.94.221301
    37 schema:datePublished 2015-03
    38 schema:datePublishedReg 2015-03-01
    39 schema:description We study the thermodynamics of n-dimensional static asymptotically AdS black holes in Einstein gravity coupled to a scalar field with a potential admitting a stationary point with an AdS vacuum. Such black holes with non-trivial scalar hair can exist provided that the mass-squared of the scalar field is negative, and above the Breitenlohner-Freedman bound. We use the Wald procedure to derive the first law of thermodynamics for these black holes, showing how the scalar hair (or “charge”) contributes non-trivially in the expression. We show in general that a black hole mass can be deduced by isolating an integrable contribution to the (non-integrable) variation of the Hamiltonian arising in the Wald construction, and that this is consistent with the mass calculated using the renormalised holographic stress tensor and also, in those cases where it is defined, with the mass calculated using the conformal method of Ashtekar, Magnon and Das. Similar arguments can also be given for the smooth solitonic solutions in these theories. Neither the black hole nor the soliton solutions can be constructed explicitly, and we carry out a numerical analysis to demonstrate their existence and to provide approximate checks on some of our thermodynamic results.
    40 schema:genre research_article
    41 schema:inLanguage en
    42 schema:isAccessibleForFree true
    43 schema:isPartOf N2dec1f4d0a2f47ccbcef8d3a4e2ee3ec
    44 N5ddec62f3e864c15b9c56b2d7619cfd0
    45 sg:journal.1052482
    46 schema:name Thermodynamics of AdS black holes in Einstein-Scalar gravity
    47 schema:pagination 165
    48 schema:productId N75474d9014bc4526a61b460912ffadd9
    49 Na6f3bfd0c6e74b2184d9a64a663b33af
    50 Nd2ba5893e5fc414ab134cd67584cd076
    51 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013090085
    52 https://doi.org/10.1007/jhep03(2015)165
    53 schema:sdDatePublished 2019-04-11T01:06
    54 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    55 schema:sdPublisher Ndb3d25afdb024648b7d1640ccc4930bb
    56 schema:url http://link.springer.com/10.1007%2FJHEP03%282015%29165
    57 sgo:license sg:explorer/license/
    58 sgo:sdDataset articles
    59 rdf:type schema:ScholarlyArticle
    60 N2b38e36b357d41d59b988373999b42c3 rdf:first sg:person.07375153442.08
    61 rdf:rest rdf:nil
    62 N2dec1f4d0a2f47ccbcef8d3a4e2ee3ec schema:volumeNumber 2015
    63 rdf:type schema:PublicationVolume
    64 N49432e8a78d4499d8171abbd40c621c3 rdf:first sg:person.012136555175.11
    65 rdf:rest Ne176187bbe7e4faa9785cc255eeca54e
    66 N5ddec62f3e864c15b9c56b2d7619cfd0 schema:issueNumber 3
    67 rdf:type schema:PublicationIssue
    68 N75474d9014bc4526a61b460912ffadd9 schema:name readcube_id
    69 schema:value 3e5ba7f3184e55a31d5dac4c4ad4cc664c1cdb4dffd8e14b06ee45f95d259112
    70 rdf:type schema:PropertyValue
    71 Na6f3bfd0c6e74b2184d9a64a663b33af schema:name dimensions_id
    72 schema:value pub.1013090085
    73 rdf:type schema:PropertyValue
    74 Nd2ba5893e5fc414ab134cd67584cd076 schema:name doi
    75 schema:value 10.1007/jhep03(2015)165
    76 rdf:type schema:PropertyValue
    77 Ndb3d25afdb024648b7d1640ccc4930bb schema:name Springer Nature - SN SciGraph project
    78 rdf:type schema:Organization
    79 Ne176187bbe7e4faa9785cc255eeca54e rdf:first sg:person.07512552121.35
    80 rdf:rest N2b38e36b357d41d59b988373999b42c3
    81 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    82 schema:name Physical Sciences
    83 rdf:type schema:DefinedTerm
    84 anzsrc-for:0201 schema:inDefinedTermSet anzsrc-for:
    85 schema:name Astronomical and Space Sciences
    86 rdf:type schema:DefinedTerm
    87 sg:journal.1052482 schema:issn 1029-8479
    88 1126-6708
    89 schema:name Journal of High Energy Physics
    90 rdf:type schema:Periodical
    91 sg:person.012136555175.11 schema:affiliation https://www.grid.ac/institutes/grid.20513.35
    92 schema:familyName
    93 schema:givenName H.
    94 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012136555175.11
    95 rdf:type schema:Person
    96 sg:person.07375153442.08 schema:affiliation https://www.grid.ac/institutes/grid.24539.39
    97 schema:familyName Wen
    98 schema:givenName Qiang
    99 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07375153442.08
    100 rdf:type schema:Person
    101 sg:person.07512552121.35 schema:affiliation https://www.grid.ac/institutes/grid.5335.0
    102 schema:familyName Pope
    103 schema:givenName C. N.
    104 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07512552121.35
    105 rdf:type schema:Person
    106 sg:pub.10.1007/jhep01(2014)153 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044017878
    107 https://doi.org/10.1007/jhep01(2014)153
    108 rdf:type schema:CreativeWork
    109 sg:pub.10.1007/jhep06(2012)127 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052301315
    110 https://doi.org/10.1007/jhep06(2012)127
    111 rdf:type schema:CreativeWork
    112 sg:pub.10.1007/jhep06(2014)109 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047956978
    113 https://doi.org/10.1007/jhep06(2014)109
    114 rdf:type schema:CreativeWork
    115 sg:pub.10.1007/jhep09(2013)112 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021705360
    116 https://doi.org/10.1007/jhep09(2013)112
    117 rdf:type schema:CreativeWork
    118 sg:pub.10.1007/jhep10(2013)184 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006629360
    119 https://doi.org/10.1007/jhep10(2013)184
    120 rdf:type schema:CreativeWork
    121 sg:pub.10.1007/jhep11(2013)033 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021820889
    122 https://doi.org/10.1007/jhep11(2013)033
    123 rdf:type schema:CreativeWork
    124 sg:pub.10.1007/jhep12(2013)021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043464138
    125 https://doi.org/10.1007/jhep12(2013)021
    126 rdf:type schema:CreativeWork
    127 sg:pub.10.1007/s002200050764 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023248422
    128 https://doi.org/10.1007/s002200050764
    129 rdf:type schema:CreativeWork
    130 sg:pub.10.1007/s002200100381 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051944080
    131 https://doi.org/10.1007/s002200100381
    132 rdf:type schema:CreativeWork
    133 sg:pub.10.1088/1126-6708/2004/07/051 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045266412
    134 https://doi.org/10.1088/1126-6708/2004/07/051
    135 rdf:type schema:CreativeWork
    136 sg:pub.10.1088/1126-6708/2005/04/005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022498183
    137 https://doi.org/10.1088/1126-6708/2005/04/005
    138 rdf:type schema:CreativeWork
    139 sg:pub.10.1088/1126-6708/2009/01/010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043887266
    140 https://doi.org/10.1088/1126-6708/2009/01/010
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.1016/j.aop.2006.05.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049780606
    143 rdf:type schema:CreativeWork
    144 https://doi.org/10.1016/j.physletb.2013.11.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000720979
    145 rdf:type schema:CreativeWork
    146 https://doi.org/10.1016/j.physletb.2014.01.056 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002673748
    147 rdf:type schema:CreativeWork
    148 https://doi.org/10.1016/s0550-3213(99)00549-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045638082
    149 rdf:type schema:CreativeWork
    150 https://doi.org/10.1088/0264-9381/1/4/002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040488265
    151 rdf:type schema:CreativeWork
    152 https://doi.org/10.1088/0264-9381/17/2/101 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030985299
    153 rdf:type schema:CreativeWork
    154 https://doi.org/10.1088/0264-9381/26/19/195011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025274811
    155 rdf:type schema:CreativeWork
    156 https://doi.org/10.1088/0264-9381/28/17/175004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050673038
    157 rdf:type schema:CreativeWork
    158 https://doi.org/10.1103/physrevd.50.846 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032503686
    159 rdf:type schema:CreativeWork
    160 https://doi.org/10.1103/physrevd.60.046002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012286063
    161 rdf:type schema:CreativeWork
    162 https://doi.org/10.1103/physrevd.60.104001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016697327
    163 rdf:type schema:CreativeWork
    164 https://doi.org/10.1103/physrevd.65.104007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005675203
    165 rdf:type schema:CreativeWork
    166 https://doi.org/10.1103/physrevd.68.044016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040903479
    167 rdf:type schema:CreativeWork
    168 https://doi.org/10.1103/physrevd.70.044034 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022646958
    169 rdf:type schema:CreativeWork
    170 https://doi.org/10.1103/physrevd.73.104036 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027560173
    171 rdf:type schema:CreativeWork
    172 https://doi.org/10.1103/physrevd.83.121502 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051977484
    173 rdf:type schema:CreativeWork
    174 https://doi.org/10.1103/physrevd.84.024037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041546546
    175 rdf:type schema:CreativeWork
    176 https://doi.org/10.1103/physrevd.89.044014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023219215
    177 rdf:type schema:CreativeWork
    178 https://doi.org/10.1103/physrevd.89.065003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024236792
    179 rdf:type schema:CreativeWork
    180 https://doi.org/10.1103/physrevd.91.041501 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049181366
    181 rdf:type schema:CreativeWork
    182 https://doi.org/10.1103/physrevlett.94.221301 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041371380
    183 rdf:type schema:CreativeWork
    184 https://www.grid.ac/institutes/grid.20513.35 schema:alternateName Beijing Normal University
    185 schema:name Department of Physics, Beijing Normal University, 100875, Beijing, China
    186 rdf:type schema:Organization
    187 https://www.grid.ac/institutes/grid.24539.39 schema:alternateName Renmin University of China
    188 schema:name Department of Physics, Renmin University of China, 100872, Beijing, China
    189 rdf:type schema:Organization
    190 https://www.grid.ac/institutes/grid.5335.0 schema:alternateName University of Cambridge
    191 schema:name DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, CB3 OWA, Cambridge, U.K.
    192 George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, 77843, College Station, TX, U.S.A.
    193 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...