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arXiv · 1703.07644

Dirac equation of spin particles and tunneling radiation from a Kinnersly black

Guo-Ping Li·Zhong-Wen Feng·Hui-Ling Li·Xiao-Tao Zu
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Abstract

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

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Guo-Ping Li, Zhong-Wen Feng, Hui-Ling Li, Xiao-Tao Zu. 2017-03-27. Dirac equation of spin particles and tunneling radiation from a Kinnersly black. https://doi.org/10.1140/epjc%2Fs10052-017-4806-9

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