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

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.

arXiv comment16 pages, 7 figures

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Cited by in corpus (3)

• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity