# Black Hole Thermodynamics and Gravity's Rainbow

## TL;DR

This paper investigates how Gravity's Rainbow modifies black hole thermodynamics, eliminating the need for regularization in calculating thermodynamic quantities near horizons, and compares inertial and comoving frame results.

## Contribution

It demonstrates that Gravity's Rainbow removes the divergence issues in black hole thermodynamics calculations, providing a novel approach to regularization.

## Key findings

- Gravity's Rainbow regularizes thermodynamic calculations
- No divergence in density of states near horizons with Gravity's Rainbow
- Comparison shows consistent results in different frames

## Abstract

We consider the effects of rotations on the calculation of some thermodynamical quantities like the free energy, internal energy and entropy. In ordinary gravity, when we evaluate the density of states of a scalar field close to a black hole horizon, we obtain a divergent result which can be kept under control with the help of some standard regularization and renormalization processes. We show that when we use the Gravity's Rainbow approach such regularization/renormalization processes can be avoided. A comparison between the calculation done in an inertial frame and in a comoving frame is presented.