In the space-time of the nonstationary spherical symmetry Vaidya-Bonner black hole, an accurate modification of Hawking tunneling radiation for fermions with arbitrary spin is researched. Considering a light dispersion relationship derived from string theory, quantum gravitational theory, and the Rarita-Schwinger equation in the nonstationary spherical symmetry space-time, we derive an accurately modified dynamic equation for fermions with arbitrary spin. By solving the equation, the modified tunneling rate of fermions with arbitrary spin, Hawking temperature, and entropy at the event horizon of the Vaidya-Bonner black hole are presented. We find that the Hawking temperature will increase, but the entropy will decrease compared with the case without the Lorentz Invariation Violation modification.

中文翻译：

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洛伦兹不变式对Vaidya-Bonner时空中任意自旋费米子隧穿辐射的影响

在非平稳球对称Vaidya-Bonner黑洞的时空中，研究了任意自旋费米子的霍金隧穿辐射的精确修正。考虑到从弦论，量子引力论和Rarita-Schwinger方程在非平稳球对称时空中得出的光色散关系，我们推导了精确修正的具有任意自旋的费米子动力学方程。通过求解该方程，给出了在Vaidya-Bonner黑洞事件视界下具有任意自旋，霍金温度和熵的费米子的修正隧穿速率。我们发现霍金温度会升高，但与未修改洛伦兹不变违反的情况相比，熵会降低。