AdS Black Hole in R^2-Gravity
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.
Cite
@article{arxiv.hep-th/0108209,
title = {AdS Black Hole in R^2-Gravity},
author = {Sachiko Ogushi},
journal= {arXiv preprint arXiv:hep-th/0108209},
year = {2017}
}
Comments
Talk given at the "Sixth Workshop on Non-Perturbative Quantum Chromodynamics" 5 - 9 June 2001, Paris, France; 5 pages