Generalized uncertainty principles and black hole temperatures in rainbow gravity

TL;DR

This paper explores how different generalized uncertainty principles affect black hole temperatures and thermodynamic stability within rainbow gravity, using modified dispersion relations and three GUP types.

Contribution

It introduces a comprehensive analysis of black hole thermodynamics in rainbow gravity considering multiple GUP frameworks, which is novel.

Findings

Modified black hole temperatures depend on the type of GUP used.

Thermodynamic stability varies with different GUPs.

Rainbow gravity effects alter black hole thermodynamics.

Abstract

In this paper, we have obtained modified black hole temperatures in rainbow gravity by employing both the modified dispersion relation (MDR) and the three different types of generalized uncertainty principles (GUPs) including the extended uncertainty principle (EUP). We also investigate their thermodynamic stabilities of the modified Schwarzschild black hole according to the different GUPs.