Gravity's Rainbow and Black Hole Entropy

TL;DR

This paper investigates how Gravity's Rainbow modifies black hole entropy calculations, showing that it can eliminate divergences in the brick wall model and extending the analysis to rotating Kerr black holes.

Contribution

It introduces a modified density of states in the brick wall model under Gravity's Rainbow, removing divergences and applying the framework to rotating black holes.

Findings

Divergences in the brick wall model can be eliminated with Gravity's Rainbow.

The modified model applies to Kerr black holes in a comoving frame.

Gravity's Rainbow alters the radial coordinate behavior near the horizon.

Abstract

We consider the effects of Gravity's Rainbow on the computation of black hole entropy using a dynamical brick wall model. An explicit dependence of the radial coordinate approaching the horizon is proposed to analyze the behavior of the divergence. We find that, due to the modification of the density of states, the brick wall can be eliminated. The calculation is extended to include rotations and in particular to a Kerr black hole in a comoving frame.