Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow

TL;DR

This paper investigates how quintessence and gravity's rainbow influence the thermodynamics and stability of Schwarzschild black holes, deriving key thermal quantities within a quantum gravity motivated framework.

Contribution

It introduces a novel analysis of black hole thermodynamics incorporating both quintessence and gravity's rainbow effects, extending previous models.

Findings

Quintessence and rainbow gravity modify black hole stability.

Hawking temperature and entropy are affected by the combined effects.

Black hole stability depends on the parameters of quintessence and rainbow functions.

Abstract

According to some quantum gravity models, Lorentz invariance can be violated in the Planck energy scale. With this motivation, we analyze the thermal quantities and the stability of Schwarzschild black hole surrounded by quintessence in gravity's rainbow formalism. To do that, we consider the rainbow functions which are motivated by loop quantum gravity and gamma-ray bursts, and we derive Hawking temperature, specific heat, entropy and the equation of state function. We observe that the presence the quintessence matter field and rainbow gravity affect the stability of the black hole.