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The Tunneling Radiation from Non-Stationary Spherical Symmetry Black Holes and the Hamilton-Jacobi Equation

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Abstract

We derive the Hamilton-Jacobi equation from the Dirac equation, then, with the help of the Hamilton-Jacobi equation, the the tunneling radiation behavior of the non-stationary spherical symmetry de Sitter black hole is discussed, at last, we obtained the tunneling rate and Hawking temperature. Our results showed that the Hamilton-Jacobi equation is a fundamental dynamic equation, it can widely be derived from the dynamic equations which describe the particles with any spin. Therefore, people can easy calculate the tunneling behavior from the black holes.

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Acknowledgments

This work is supported by the Natural Science Foundation of China (Grant No. 11573022). The authors would also like to thank anonymous referees for enlightening comments and helpful suggestions.

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Authors and Affiliations

  1. Department of Astronomy, China West Normal University, Nanchong, 637009, China

    Shu-Zheng Yang & Zhong-Wen Feng

  2. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Zhong-Wen Feng & Hui-Ling Li

  3. College of Physics Science and Technology, Shenyang Normal University, Shenyang, 110034, China

    Hui-Ling Li

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  1. Shu-Zheng Yang
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  2. Zhong-Wen Feng
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  3. Hui-Ling Li
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Correspondence to Shu-Zheng Yang.

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Yang, SZ., Feng, ZW. & Li, HL. The Tunneling Radiation from Non-Stationary Spherical Symmetry Black Holes and the Hamilton-Jacobi Equation. Int J Theor Phys 56, 546–553 (2017). https://doi.org/10.1007/s10773-016-3196-3

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  • DOI: https://doi.org/10.1007/s10773-016-3196-3

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