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The European Physical Journal C

, 77:250

First Online: 19 April 2017Received: 18 March 2017Accepted: 03 April 2017DOI: 10.1140-epjc-s10052-017-4806-9

Cite this article as: Li, GP., Feng, ZW., Li, HL. et al. Eur. Phys. J. C 2017 77: 250. doi:10.1140-epjc-s10052-017-4806-9

Abstract

In curved space-time, the Hamilton–Jacobi equation is a semi-classical particle equation of motion, which plays an important role in the research of black hole physics. In this paper, starting from the Dirac equation of spin 1-2 fermions and the Rarita–Schwinger equation of spin 3-2 fermions, respectively, we derive a Hamilton–Jacobi equation for the non-stationary spherically symmetric gravitational field background. Furthermore, the quantum tunneling of a charged spherically symmetric Kinnersly black hole is investigated by using the Hamilton–Jacobi equation. The result shows that the Hamilton–Jacobi equation is helpful to understand the thermodynamic properties and the radiation characteristics of a black hole.





Autor: Guo-Ping Li - Zhong-Wen Feng - Hui-Ling Li - Xiao-Tao Zu

Fuente: https://link.springer.com/







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