Thermodynamic Phase Transition of the Spherically Black Hole with Global Monopole Under GUP

摘要

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 residues, black hole entropy, thermal capacity, and other thermodynamic quantities. Then, we analyze the effects of generalized uncertainty parameters and the monopole parameter on phase transitions. Finally, we study the thermodynamic stability and phase transition structure under the influence of GUP. The results show that, for the black hole with global monopole, there are first-order and second-order phase transitions. In addition, the general uncertainty parameter and monopole parameter will affect the black hole residues.