HOLOGRAPHIC ENTROPY AND BRANE FRW DYNAMICS FROM AdS BLACK HOLE IN d5 HIGHER DERIVATIVE GRAVITY
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In this paper, higher derivative bulk gravity (without Riemann tensor square term) admits AdS-Schwarzschild black hole as an exact solution, and induced brane geometry on such background is open, flat or closed FRW radiation dominated universe.Abstract:
Higher derivative bulk gravity (without Riemann tensor square term) admits AdS–Schwarzschild black hole as an exact solution. It is shown that induced brane geometry on such background is open, flat or closed FRW radiation dominated universe. Higher derivative terms contributions appear in the Hawking temperature, entropy and Hubble parameter via the redefinition of five-dimensional gravitational constant and AdS scale parameter. These higher derivative terms do not destroy the AdS-dual description of radiation represented by strongly-coupled CFT. The Cardy–Verlinde formula which expresses cosmological entropy as the square root from other parameters and entropies is derived in R2 gravity. The corresponding cosmological entropy bounds are briefly discussed.read more
Citations
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Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity
TL;DR: In this paper, the authors investigated the charged Schwarzschild-anti-de-Sitter (SAdS) BH thermodynamics in 5d Einstein-Gauss-Bonnet gravity with electromagnetic field.
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Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
TL;DR: In this article, the charged Schwarzschild-Anti-deSitter (SAdS) thermodynamics in 5d Einstein-Gauss-Bonnet gravity with electromagnetic field was investigated.
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Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity
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Anti-de Sitter Black Holes, Thermal Phase Transition and Holography in Higher Curvature Gravity
TL;DR: In this paper, the authors studied anti-char21{}de Sitter black holes in the Einstein-Gauss-Bonnet and the generic ${R}^{2}$ gravity theories, evaluate different thermodynamic quantities, and also examine the possibilities of Hawking-Page\char 21{}type thermal phase transitions in these theories.
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FRIEDMANN–ROBERTSON–WALKER BRANE COSMOLOGICAL EQUATIONS FROM THE FIVE-DIMENSIONAL BULk (A)dS BLACK HOLE
TL;DR: In this article, Friedmann-Robertson-Walker (FRW) brane equations are considered from the point of view of their representation in the form similar to two-dimensional CFT entropy, the Cardy-Verlinde (CV) formula.
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