AdS Black Hole in R^2-Gravity

TL;DR

This paper explores properties of R^2-extended AdS black holes, showing that higher derivative terms modify thermodynamic and cosmological parameters without disrupting the AdS/CFT correspondence or the Cardy-Verlinde entropy formula.

Contribution

It demonstrates that R^2-terms in higher derivative gravity alter black hole thermodynamics and cosmology while preserving the AdS/CFT duality and entropy relations.

Findings

Higher derivative terms modify Hawking temperature and entropy.

Induced brane universe remains FRW radiation dominated.

AdS/CFT correspondence and Cardy-Verlinde formula are preserved.

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.