Tunneling radiation of fermions from the non-stationary Kerr black hole

Qun-Chao Ding; Zhong-Wen Feng; Shu-Zheng Yang

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arXiv · 1901.01852

Tunneling radiation of fermions from the non-stationary Kerr black hole

Qun-Chao Ding·Zhong-Wen Feng·Shu-Zheng Yang

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Abstract

In this paper, the tunneling radiation of fermions with spin $1/2$ and $3/2$ from the non-stationary Kerr black hole are investigated. First, according to the Dirac equation for spin $1/2$ fermions and Rarita-Schwinger equation for spin $3/2$ fermions, we construct the corresponding gamma matrixes and the derive Hamilton-Jacobi equation for spin $1/2$ and $3/2$ fermions. Then, the tunneling behavior of fermions on the event horizon is studied. Finally, we obtain the thermodynamic properties of the non-stationary Kerr black hole. The result shows that the tunneling radiation rate, surface gravity and temperature are all related to ${\dot r_H}$ and ${r'_H}$

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Qun-Chao Ding, Zhong-Wen Feng, Shu-Zheng Yang. 2019-01-02. Tunneling radiation of fermions from the non-stationary Kerr black hole. https://arxiv.org/abs/1901.01852

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