The Fermion Tunneling from a Slowly Varying Charged Black Hole
According to the Dirac equation and the Rarita-Schwinger equation, the Hamilton-Jacobi equation in curved space-time for the spin 1/2 and 3/2 fermions have been derived. Therefore, we find the Hamilton-Jacobi equation is a fundamental equation in the semiclassical theory. By utilizing this Hamilton-Jacobi equation, we investigate the quantum tunneling radiation from slowly varying Reissner-Nordström (R-N) black hole. The results show that the Hawking temperature do not only related to the properties of slowly varying R-N black hole, but also depended on the time. Meanwhile, it finds that the Hamilton-Jacobi equation can help people more easily and effectively calculated thermodynamic properties black hole.
KeywordsHamilton-Jacobi equationl Slowly varying Reissner-Nordström black hole Hawking radiation
The authors would like to thank the anonymous reviewers for their helpful comments and suggestions, which helped to improve the quality of this paper. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11573022 and 11847048) and the Fundamental Research Funds of China West Normal University (Grant Nos. 17E093 and 17YC518).
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