Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes

TL;DR

This paper investigates how Planck-scale modifications to dispersion relations influence the thermodynamics of charged black holes, combining quantum gravity phenomenology with black hole physics.

Contribution

It introduces a deformed Reissner-Nordström metric based on modified dispersion relations and explores its thermodynamic properties within rainbow gravity.

Findings

Modified dispersion relations affect black hole thermodynamics.

The deformed metric provides new insights into quantum gravity effects.

Thermodynamic behavior differs from classical Reissner-Nordström black holes.

Abstract

Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced black hole metric inspired by Kiselev's ansatz, thus defining a deformed Reissner-Nordstr\"{o}m metric. In particular, we consider thermodynamic properties of such a black hole from the combined viewpoints of the modified equation of state parameter and the phenomenological approach to the quantum gravity problem called rainbow gravity.