Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory
Abstract
We relate various black hole solutions in the near-horizon region to black hole solutions in two-dimensional dilaton gravity theories in order to argue that thermodynamics of black holes in D>=4 can be effectively described by thermodynamics of black holes in two-dimensional dilaton gravity theories. We show that the Bekenstein-Hawking entropies of single-charged dilatonic black holes and dilatonic p-branes with an arbitrary dilaton coupling parameter in arbitrary spacetime dimensions are exactly reproduced by the Bekenstein-Hawking entropy of the two-dimensional black hole in the associated two-dimensional dilaton gravity model. We comment that thermodynamics of non-extreme stringy four-dimensional black hole with four charges and five-dimensional black hole with three charges may be effectively described by thermodynamics of the black hole solutions with constant dilaton field in two-dimensional dilaton gravity theories.
Cite
@article{arxiv.hep-th/9910244,
title = {Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory},
author = {Donam Youm},
journal= {arXiv preprint arXiv:hep-th/9910244},
year = {2009}
}
Comments
15 pages, LaTeX, added references