Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory

Details Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory

1999-10-29

arxiv.org/abs/hep-th/9910244v2

Phys.Rev. D61 (2000) 044013

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, added references

Scientific paper

10.1103/PhysRevD.61.044013

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.

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