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AdS Black Hole in R^2-Gravity

Sachiko Ogushi
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Abstract

We discuss some properties of higher derivative (HD) bulk gravity without Riemann tensor square term. Such a kind of gravity admits Schwarzschild Anti de Sitter (SAdS) black hole as exact solution. It is shown that induced brane geometry on such background is Friedmann-Robertson-Walker (FRW) radiation dominated Universe. We show that HD terms contributions appear in the Hawking temperature, entropy and Hubble parameter via the redefinition of 5-dimensional gravitational constant and AdS scale parameter. These HD terms do not destroy the AdS-dual description of radiation represented by strongly-coupled CFT. So-called Cardy-Verlinde formula which expresses cosmological entropy as square root from other parameters and entropies is also derived in R^2-gravity. This talk is based on works with Shin'ichi Nojiri and Sergei D. Odintsov.

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Sachiko Ogushi. 2001-08-28. AdS Black Hole in R^2-Gravity. https://doi.org/10.1142/9789812778352_0044

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