Thermodynamic modifications to Bardeen black holes surrounded by quintessence based on the new higher order GUP

TL;DR

This paper explores how a new higher order generalized uncertainty principle (GUP) affects the thermodynamic properties of Bardeen black holes surrounded by quintessence, revealing modifications in temperature, entropy, and stability.

Contribution

It introduces a novel higher order GUP framework to analyze thermodynamics of Bardeen black holes with quintessence, deriving new expressions for key properties and their dependence on GUP parameters.

Findings

Modified Hawking temperature, entropy, and heat capacity due to GUP.

Existence of black hole remnants with specific temperature and mass.

GUP parameter $eta$ significantly influences thermodynamic stability.

Abstract

In this article, the thermodynamic properties of Bardeen black holes surrounded by quintessence are investigated in the framework of a new higher order GUP. The modified Hawking temperature, entropy and heat capacity are derived using a heuristic approach. Meanwhile, the remnant temperature and mass are deduced, and the modified black hole state equation is obtained by utilizing the energy density of matter. Ultimately, we analyze the effects of the GUP controlling deformation parameter $\beta$ on these thermodynamic properties using graphical illustrations, to more comprehensively understand the thermodynamic behavior of the black hole in the context of higher order GUP.