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Fermions Tunnelling from Black String and Kerr AdS Black Hole with Consideration of Quantum Gravity

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Abstract

In this paper, using the Hamilton-Jacobi Ansatz, we discuss the tunnelling of fermions when effects of quantum gravity are taken into account. We investigate two cases, black string and Kerr AdS black hole. For black string, the uncharged and un-rotating case, we find that the correction of Hawking temperature is only affected by the mass of emitted fermions and the quantum gravitational corrections slow down the increases of the temperature, which naturally leads to remnants left in the evaporation. For another case, the Kerr AdS black hole, we find that the quantum gravitational corrections are not only determined by the mass of the emitted fermions but also affected by the rotating properties of the AdS black hole. So with consideration of the quantum gravity corrections, an offset around the standard temperature always exists.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China with Grant No. 11205125 and the Fundamental Research Funds of China West Normal University (13C009).

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Authors and Affiliations

  1. Institute of Theoretical Physics, China West Normal University, Nanchong, 637002, China

    Zhong-hua Li & Li-mei Zhang

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  1. Zhong-hua Li
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  2. Li-mei Zhang
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Correspondence to Zhong-hua Li.

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Li, Zh., Zhang, Lm. Fermions Tunnelling from Black String and Kerr AdS Black Hole with Consideration of Quantum Gravity. Int J Theor Phys 55, 401–411 (2016). https://doi.org/10.1007/s10773-015-2674-3

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  • DOI: https://doi.org/10.1007/s10773-015-2674-3

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