Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow

TL;DR

This paper explores five-dimensional Yang-Mills black holes within massive gravity's rainbow, analyzing their scale-dependent thermodynamics, critical behavior, and quantum corrections to understand their physical properties.

Contribution

It introduces a novel analysis of five-dimensional Yang-Mills black holes in massive gravity's rainbow, focusing on thermodynamics, phase transitions, and quantum corrections.

Findings

Scale dependence of black hole thermodynamics analyzed

Criticality and phase transitions identified in extended phase space

Quantum corrections significantly affect thermodynamic behavior

Abstract

In this paper, we will analyze a five-dimensional Yang-Mills black hole solution in massive gravity's rainbow. We will also investigate the flow of such a solution with scale. Then, we will discuss the scale dependence of the thermodynamics for this black hole. Also, we study the criticality in the extended phase space by treating the cosmological constant as the thermodynamics pressure of this black hole solution. Moreover, we will use the partition function for this solution to obtaining corrections to the thermodynamics of this system and examine their key role on the behavior of corrected solutions.