Self-gravitating radiation in anti-de sitter space View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1985-11

AUTHORS

Don N. Page, K. C. Phillips

ABSTRACT

Equilibrium configurations of self-gravitating massless thermal radiation inside spherical boxes of radiusR in asymptotically anti-de Sitter space (A = -3/b2) are constructed numerically for a range of central densities. For each box radius considered (R/b = 0, 1/2, 1, 2, 4, ∞), there is a unique configuration with maximal total mass and entropy, and another (at a lower central density) with maximum asymptotic red-shifted temperature. With the box removed toR=∞, the maximum total mass and entropy of self-gravitating thermal radiation areMmax≈ 0.4598b≈0.7964(−A)−1/2 andSmax≈1.3560a1/4b3/2≈ 3.0910a1/4(−A)−3/4, and the maximum red-shifted temperature is More... »

PAGES

1029-1042

References to SciGraph publications

  • 1983-12. Thermodynamics of black holes in anti-de Sitter space in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1975-08. Particle creation by black holes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1981-12. Entropy of self-gravitating radiation in GENERAL RELATIVITY AND GRAVITATION
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00774206

    DOI

    http://dx.doi.org/10.1007/bf00774206

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1039121622


    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/2008/0299", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Other Physical 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": "Pennsylvania State University", 
              "id": "https://www.grid.ac/institutes/grid.29857.31", 
              "name": [
                "Department of Physics, The Pennsylvania State University, 16802, University Park, Pennsylvania"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Page", 
            "givenName": "Don N.", 
            "id": "sg:person.016316764733.87", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016316764733.87"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Pennsylvania State University", 
              "id": "https://www.grid.ac/institutes/grid.29857.31", 
              "name": [
                "Department of Astronomy, The Pennsylvania State University, 16802, University Park, Pennsylvania"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Phillips", 
            "givenName": "K. C.", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01208266", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003905617", 
              "https://doi.org/10.1007/bf01208266"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01208266", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003905617", 
              "https://doi.org/10.1007/bf01208266"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02345020", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010701796", 
              "https://doi.org/10.1007/bf02345020"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02345020", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010701796", 
              "https://doi.org/10.1007/bf02345020"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1093/mnras/138.4.495", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034959423"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00759862", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050721648", 
              "https://doi.org/10.1007/bf00759862"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00759862", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050721648", 
              "https://doi.org/10.1007/bf00759862"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.13.191", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060683830"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.13.191", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060683830"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.7.2333", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060705757"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.7.2333", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060705757"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511524646", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098707667"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1985-11", 
        "datePublishedReg": "1985-11-01", 
        "description": "Equilibrium configurations of self-gravitating massless thermal radiation inside spherical boxes of radiusR in asymptotically anti-de Sitter space (A = -3/b2) are constructed numerically for a range of central densities. For each box radius considered (R/b = 0, 1/2, 1, 2, 4, \u221e), there is a unique configuration with maximal total mass and entropy, and another (at a lower central density) with maximum asymptotic red-shifted temperature. With the box removed toR=\u221e, the maximum total mass and entropy of self-gravitating thermal radiation areMmax\u2248 0.4598b\u22480.7964(\u2212A)\u22121/2 andSmax\u22481.3560a1/4b3/2\u2248 3.0910a1/4(\u2212A)\u22123/4, and the maximum red-shifted temperature is", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf00774206", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1052061", 
            "issn": [
              "0001-7701", 
              "1572-9532"
            ], 
            "name": "General Relativity and Gravitation", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "11", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "17"
          }
        ], 
        "name": "Self-gravitating radiation in anti-de sitter space", 
        "pagination": "1029-1042", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "ba5b16d08e7a1c10a73067eb7bc78bb041c07c8e8f501eaea42309770929c5b0"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf00774206"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1039121622"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf00774206", 
          "https://app.dimensions.ai/details/publication/pub.1039121622"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T18:17", 
        "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_8675_00000496.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF00774206"
      }
    ]
     

    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/bf00774206'

    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/bf00774206'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00774206'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00774206'


     

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

    92 TRIPLES      21 PREDICATES      34 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf00774206 schema:about anzsrc-for:02
    2 anzsrc-for:0299
    3 schema:author N33e5ae9a50074e0e9d9056f87ea3dc85
    4 schema:citation sg:pub.10.1007/bf00759862
    5 sg:pub.10.1007/bf01208266
    6 sg:pub.10.1007/bf02345020
    7 https://doi.org/10.1017/cbo9780511524646
    8 https://doi.org/10.1093/mnras/138.4.495
    9 https://doi.org/10.1103/physrevd.13.191
    10 https://doi.org/10.1103/physrevd.7.2333
    11 schema:datePublished 1985-11
    12 schema:datePublishedReg 1985-11-01
    13 schema:description Equilibrium configurations of self-gravitating massless thermal radiation inside spherical boxes of radiusR in asymptotically anti-de Sitter space (A = -3/b2) are constructed numerically for a range of central densities. For each box radius considered (R/b = 0, 1/2, 1, 2, 4, ∞), there is a unique configuration with maximal total mass and entropy, and another (at a lower central density) with maximum asymptotic red-shifted temperature. With the box removed toR=∞, the maximum total mass and entropy of self-gravitating thermal radiation areMmax≈ 0.4598b≈0.7964(−A)−1/2 andSmax≈1.3560a1/4b3/2≈ 3.0910a1/4(−A)−3/4, and the maximum red-shifted temperature is
    14 schema:genre research_article
    15 schema:inLanguage en
    16 schema:isAccessibleForFree false
    17 schema:isPartOf N4996d7b49f5a49f5895c644e7868f32d
    18 Ndfce9604e8594edc91158adbb4ab4429
    19 sg:journal.1052061
    20 schema:name Self-gravitating radiation in anti-de sitter space
    21 schema:pagination 1029-1042
    22 schema:productId N26e702f4b8544efbbf2235b8403715e9
    23 N4b33c901a4ef4f7ba8f5415df7c6efc1
    24 Ne763b9eea33e417a8573d63da0af76b6
    25 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039121622
    26 https://doi.org/10.1007/bf00774206
    27 schema:sdDatePublished 2019-04-10T18:17
    28 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    29 schema:sdPublisher N11a45e8ac6f746518638c7bd77992299
    30 schema:url http://link.springer.com/10.1007/BF00774206
    31 sgo:license sg:explorer/license/
    32 sgo:sdDataset articles
    33 rdf:type schema:ScholarlyArticle
    34 N11a45e8ac6f746518638c7bd77992299 schema:name Springer Nature - SN SciGraph project
    35 rdf:type schema:Organization
    36 N26e702f4b8544efbbf2235b8403715e9 schema:name doi
    37 schema:value 10.1007/bf00774206
    38 rdf:type schema:PropertyValue
    39 N33e5ae9a50074e0e9d9056f87ea3dc85 rdf:first sg:person.016316764733.87
    40 rdf:rest Ne85f5558aba14f6dadfc32c814469095
    41 N4996d7b49f5a49f5895c644e7868f32d schema:volumeNumber 17
    42 rdf:type schema:PublicationVolume
    43 N4b33c901a4ef4f7ba8f5415df7c6efc1 schema:name readcube_id
    44 schema:value ba5b16d08e7a1c10a73067eb7bc78bb041c07c8e8f501eaea42309770929c5b0
    45 rdf:type schema:PropertyValue
    46 N6a37c0d0beca41f8bc9ba9dc6f89d590 schema:affiliation https://www.grid.ac/institutes/grid.29857.31
    47 schema:familyName Phillips
    48 schema:givenName K. C.
    49 rdf:type schema:Person
    50 Ndfce9604e8594edc91158adbb4ab4429 schema:issueNumber 11
    51 rdf:type schema:PublicationIssue
    52 Ne763b9eea33e417a8573d63da0af76b6 schema:name dimensions_id
    53 schema:value pub.1039121622
    54 rdf:type schema:PropertyValue
    55 Ne85f5558aba14f6dadfc32c814469095 rdf:first N6a37c0d0beca41f8bc9ba9dc6f89d590
    56 rdf:rest rdf:nil
    57 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    58 schema:name Physical Sciences
    59 rdf:type schema:DefinedTerm
    60 anzsrc-for:0299 schema:inDefinedTermSet anzsrc-for:
    61 schema:name Other Physical Sciences
    62 rdf:type schema:DefinedTerm
    63 sg:journal.1052061 schema:issn 0001-7701
    64 1572-9532
    65 schema:name General Relativity and Gravitation
    66 rdf:type schema:Periodical
    67 sg:person.016316764733.87 schema:affiliation https://www.grid.ac/institutes/grid.29857.31
    68 schema:familyName Page
    69 schema:givenName Don N.
    70 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016316764733.87
    71 rdf:type schema:Person
    72 sg:pub.10.1007/bf00759862 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050721648
    73 https://doi.org/10.1007/bf00759862
    74 rdf:type schema:CreativeWork
    75 sg:pub.10.1007/bf01208266 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003905617
    76 https://doi.org/10.1007/bf01208266
    77 rdf:type schema:CreativeWork
    78 sg:pub.10.1007/bf02345020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010701796
    79 https://doi.org/10.1007/bf02345020
    80 rdf:type schema:CreativeWork
    81 https://doi.org/10.1017/cbo9780511524646 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098707667
    82 rdf:type schema:CreativeWork
    83 https://doi.org/10.1093/mnras/138.4.495 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034959423
    84 rdf:type schema:CreativeWork
    85 https://doi.org/10.1103/physrevd.13.191 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060683830
    86 rdf:type schema:CreativeWork
    87 https://doi.org/10.1103/physrevd.7.2333 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060705757
    88 rdf:type schema:CreativeWork
    89 https://www.grid.ac/institutes/grid.29857.31 schema:alternateName Pennsylvania State University
    90 schema:name Department of Astronomy, The Pennsylvania State University, 16802, University Park, Pennsylvania
    91 Department of Physics, The Pennsylvania State University, 16802, University Park, Pennsylvania
    92 rdf:type schema:Organization
     




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


    ...