Gamma ray bursters and black holes in gravity’s rainbow

Abstract

In this paper, we analyze the modification to the thermodynamics of a Schwarzschild 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 affects the formation of virtual black holes.