Hawking radiation of Reissner–Nordström–de Sitter black hole with a global monopole derived from modified Hamilton–Jacobi equation

• Published in: Canadian journal of physics Vol. 99; no. 6; pp. 451 - 454
• Main Authors: Liu, Zhi-E, Tan, Xia, Liu, Yu-Zhen, Sha, Bei, Zhang, Jie, Yang, Shu-Zheng
• Format: Journal Article
• Language: English
• Published: 1840 Woodward Drive, Suite 1, Ottawa, ON K2C 0P7 NRC Research Press 01.06.2021; Canadian Science Publishing NRC Research Press
• Subjects: Approximation; Black holes; Black holes (Astronomy); entropie modifiée; Entropy; Event horizon; Hamilton-Jacobi equations; Hamilton–Jacobi equation; Hawking radiation; Hawking temperature; Hawking, Stephen (1942-2018); Mathematical analysis; modified entropy; modified scalar field equation; Monopoles; Physics; Radiation; Scalars; Space and time; Spacetime; température de Hawking; trou noir; équation de champ scalaire modifiée; équation de Hamilton–Jacobi; China
• ISSN: 0008-4204; 1208-6045
• DOI: 10.1139/cjp-2020-0402

The tunneling characteristics at the cosmological and event horizons of Reissner–Nordström–de Sitter black hole with a global monopole are studied by using the modified Lorentz violation scalar field equation in curved space–time. Firstly, we get the modified Hamilton–Jacobi equation using the semi-classical approximation, then the Hawking radiation and thermodynamical properties of Reissner–Nordström–de Sitter black hole with a global monopole are computed based on the modified Hamilton–Jacobi equation. Our results show that Lorentz violation can lead to lower Hawking temperature and higher entropy of the black hole at the same time. This work improves the understanding of the physical nature of Lorentz violation in curved space–time.