Thermodynamics of black holes in rainbow gravity

TL;DR

This paper explores how rainbow gravity modifies black hole thermodynamics, revealing the existence of remnants, critical masses, and altered entropy-area relations across various black hole types.

Contribution

It introduces a rainbow gravity framework to analyze black hole thermodynamics, deriving new relations for temperature, heat capacity, and entropy, including the existence of black hole remnants.

Findings

Existence of black hole remnants and critical masses.

Modified entropy-area relation depending on rainbow function parameter.

Altered thermodynamic stability conditions for rainbow gravity black holes.

Abstract

In this paper, we investigate the thermodynamic properties of black holes under the influence of rainbow gravity. In the metric of Schwarzschild, Reissner-Nordstrom and Reissner-Nordstrom-de-Sitter black hole surrounded by quintessence, we consider a rainbow function and derive the existence of remnant and critical masses of a black hole. Using the Hawking temperature relation we derive the heat capacity and the entropy of the rainbow gravity inspired black holes and closely study the relation between entropy and area of the horizon for different values of n of the rainbow function.