Abstract
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.
Highlights
The theory of Hawking thermal radiation reveals the relationship between gravitational theory, quantum theory, and statistical thermal dynamic mechanics [1]
It is confirmed that both the Dirac equation and the HamiltonJacobi equation must be modified if the Lorentz Invariation Violation is considered
We will research the exact modification of tunneling radiation for fermions with an arbitrary spin, considering the Lorentz Invariation Violation
Summary
The theory of Hawking thermal radiation reveals the relationship between gravitational theory, quantum theory, and statistical thermal dynamic mechanics [1]. Researchers studied the Hawking tunneling radiation for many types of black holes [4,5,6,7,8,9]. This result means that the Hamilton-Jacobi equation is a very important equation in the research of the tunneling theory of fermions. Only an accurate modification can efficiently research fermion tunneling radiation from a black hole, such as the Vaidya-Bonner black hole.
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