f(R) gravities, Killing spinor equations, “BPS” domain walls and cosmology View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-02

AUTHORS

Haishan Liu, H. Lü, Zhao-Long Wang

ABSTRACT

We derive the condition on f(R) gravities that admit Killing spinor equations and construct explicit such examples. The Killing spinor equations can be used to reduce the fourth-order differential equations of motion to the first order for both the domain wall and FLRW cosmological solutions. We obtain exact “BPS” domain walls that describe the smooth Randall-Sundrum II, AdS wormholes and the RG flow from IR to UV. We also obtain exact smooth cosmological solutions that describe the evolution from an inflationary starting point with a larger cosmological constant to an ever-expanding universe with a smaller cosmological constant. In addition, We find exact smooth solutions of pre-big bang models, bouncing or crunching universes. An important feature is that the scalar curvature R of all these metrics is varying rather than a constant. Another intriguing feature is that there are two different f(R) gravities that give rise to the same “BPS” solution. We also study linearized f(R) gravities in (A)dS vacua. More... »

PAGES

83

References to SciGraph publications

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  • 2010-04. Analytic Lifshitz black holes in higher dimensions in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2010-12. f(R) Theories in LIVING REVIEWS IN RELATIVITY
  • 2009-10-27. A Lifshitz black hole in four dimensional R2 gravity in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2008-04-22. Chiral gravity in three dimensions in JOURNAL OF HIGH ENERGY PHYSICS
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  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep02(2012)083

    DOI

    http://dx.doi.org/10.1007/jhep02(2012)083

    DIMENSIONS

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