Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory

TL;DR

This paper demonstrates that the thermodynamics of higher-dimensional black holes, including stringy and p-brane solutions, can be effectively captured by two-dimensional dilaton gravity models, reproducing their entropies exactly.

Contribution

It establishes a precise correspondence between higher-dimensional black hole thermodynamics and two-dimensional dilaton gravity, providing a simplified effective description.

Findings

Exact reproduction of black hole entropies in 2D models

Extension to stringy black holes with multiple charges

Proposal that constant dilaton solutions model complex black holes

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.