Gamma Ray Bursters and Black Holes in the Gravity's Rainbow

TL;DR

This paper investigates how gravity's rainbow modifies the thermodynamics of Schwarzschild and Kerr black holes, using energy-dependent metrics inspired by gamma-ray burst spectra, affecting their temperature, entropy, and virtual black hole formation.

Contribution

It introduces an energy-dependent metric framework for black holes based on gamma-ray burst spectra, analyzing the resulting thermodynamic modifications.

Findings

Modified black hole temperature and entropy due to gravity's rainbow

Altered conditions for virtual black hole formation

Energy dependence influences black hole thermodynamics

Abstract

In this letter, we analyze the modification to the thermodynamics of a Schwarzchild black hole and a Kerr black hole due to gravity's rainbow. The metric for these black holes will be made energy dependent. This will be done by using rainbow functions motivated from the hard spectra from gamma-ray bursters at cosmological distances. This modification of the metric by these rainbow functions will in turn modify the temperature and entropy of these black holes. We will also discuss how this effects the formation of virtual black holes.