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In the thermodynamic evolution of black holes, the generalized uncertainty principle and quantum tunneling effect prevent the complete evaporation of black holes and produce remnants, and thermodynamic phase transition occurs during evaporation. Based on the generalized uncertainty principle and the method of quantum tunneling, we study the phase transition of the quantum–corrected black hole. Using the modified Hamiltonian–Jacobi equation to analyze the corrected thermodynamic quantity, we find that the thermodynamic phase transition of the black hole is not only depending on the nature of the black hole itself, it also depends on quantum parameter ξ, generalized uncertainty parameter β and parameter λ. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to discuss the Hawking radiation of vector particles from a quantum correction black hole by the mean of quantum tunneling. In order to achieve this purpose, based on the Proca field equation and WKB approximation, the quantum tunneling method is used to calculate the tunneling rate and Hawking temperature of the black hole. According to the analysis of the consequences, we find that the tunneling rate and Hawking temperature are related to the quantum parameter besides the horizon radius and mass of the black hole. Furthermore, when the results are compared with those of scalar particles and fermions of the black hole, no difference is found. Therefore, the tunneling rate and Hawing temperature of the black hole do not change with the type of radiation particles. [ABSTRACT FROM AUTHOR]

We derive the Hamilton-Jacobi equation from the Dirac equation, then, with the help of the Hamilton-Jacobi equation, the the tunneling radiation behavior of the non-stationary spherical symmetry de Sitter black hole is discussed, at last, we obtained the tunneling rate and Hawking temperature. Our results showed that the Hamilton-Jacobi equation is a fundamental dynamic equation, it can widely be derived from the dynamic equations which describe the particles with any spin. Therefore, people can easy calculate the tunneling behavior from the black holes. [ABSTRACT FROM AUTHOR]

Recent research shows that Hawking radiation from black hole horizon can be treated as a quantum tunneling process, and fermions tunneling method can successfully recover Hawking temperature. In this tunneling framework, choosing a set of appropriate matrices γ is an important technique for fermions tunneling method. In this paper, motivated by Kerner and Man's fermions tunneling method of 4 dimension black holes, we further improve the analysis to investigate Hawking tunneling radiation from the non-extremal black hole in D = 5, SO(6) gauged supergravity by constructing a set of appropriate matrices γ for general covariant Dirac equation. Finally, the expected Hawking temperature of the black hole is correctly recovered, which takes the same form as that obtained by other methods. [ABSTRACT FROM AUTHOR]