Thermodynamic phase transition of a Schwarzschild black hole with global monopole under GUP

TL;DR

This paper investigates how the generalized uncertainty principle influences the thermodynamic phase transitions of a Schwarzschild black hole with a global monopole, revealing effects on stability and transition types.

Contribution

It introduces a corrected thermodynamic analysis incorporating GUP effects on black holes with monopoles, highlighting new phase transition behaviors.

Findings

Existence of first-order and second-order phase transitions.

GUP parameters affect black hole thermodynamic quantities.

Monopole parameters influence phase transition characteristics.

Abstract

In this paper, considering the influence of the principle of generalized uncertainty (GUP), the phase transition of a Schwarzschild black hole with global monopole is discussed. First, we use the generalized Dirac equation to obtain corrected Hawking temperature, local temperature, black hole residue, black hole entropy, thermal capacity, and other thermodynamic quantities. Then, we use images to analyze the effects of generalized uncertainty parameters on phase transitions and the effects of magnetic monopole parameters on phase transitions. Finally, we study the thermodynamic stability and phase change structure under the influence of the principle of generalized uncertainty. The results show that, in the black hole with global monopole, there are first-order and second-order phase transitions. In addition, the general uncertainty parameters and monopole parameters will affect the black hole residues.