Thermodynamics of the Bardeen Black Hole with quintessence matter on the EGUP framework

TL;DR

This paper explores how the extended generalized uncertainty principle (EGUP) influences the thermodynamic properties of Bardeen black holes with quintessence matter, revealing modifications to temperature, entropy, and phase behavior.

Contribution

It introduces the application of EGUP to Bardeen black holes with quintessence, deriving modified thermodynamic quantities and comparing effects with GUP and EUP frameworks.

Findings

EGUP modifies Hawking temperature and entropy of Bardeen black holes.

Lower bound of horizon radius is affected by uncertainty principles.

Equation of state analysis reveals new thermodynamic behavior.

Abstract

In this paper, we have used the extended generalized uncertainty principle to investigate the thermodynamics of the Bardeen Black Hole with quintessence matter on the EGUP framework. We started with a brief perusal of the Extended generalized uncertainty principle. Subsequently, the EGUP-modified Hawking temperature, heat capacity, and entropy functions of the Bardeen Black Hole are obtained, which show that the modified uncertainty principles and normalization factor restrict the lower bound value of horizon radius to affect the Hawking temperature. Moreover, we compare and discuss the findings within the generalized uncertainty principle (GUP) and extended uncertainty principle (EUP). In addition, we examine the equation of state associated with the pressure and the volume.