Brane-world black hole entropy from modified dispersion relations

TL;DR

This paper investigates how modified dispersion relations affect the entropy of brane-world black holes, revealing deviations from the standard Bekenstein-Hawking entropy and providing insights into extra-dimensional effects.

Contribution

It introduces a method to compute brane-world black hole entropy using modified dispersion relations, highlighting the influence of extra dimensions.

Findings

Entropy differs from Bekenstein-Hawking entropy

Provides a link between black hole entropy and extra dimensions

Shows modified dispersion relations impact black hole thermodynamics

Abstract

The entropy of the Reissner-N\"{o}rdstrom black hole is studied within the context of a brane-world scenario. Such a black hole is a solution of the Einstein field equations on the brane, possessing a tidal charge which is a reflection of the extra dimension. We use the modified dispersion relation to obtain the entropy of such brane-world black holes. The resulting entropy differs from that of the standard Bekenstein-Hawking's and contains information on the extra dimension.