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Entropy of Vaidya Black Hole on Apparent Horizon with Minimal Length Revisited

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Abstract

By considering the generalized uncertainty principle, the degrees of freedom near the apparent horizon of Vaidya black hole are calculated with the thin film model. The result shows that a cut-off can be introduced naturally rather than taking by hand. Furthermore, if the minimal length is chosen to be a specific value, the statistical entropy will satisfy the conventional area law at the horizon, which might reveal some deep things of the minimal length.

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Acknowledgments

Supported by National Natural Science Foundation of China under Grant Nos. 11675139, 11605137, 11435006, 11405130 and the Double First-Class University Construction Project of Northwest University. Bin Wu is also supported by the China Postdoctoral Science Foundation (No.2017M623219).

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Authors and Affiliations

  1. Institute of Modern Physics, Northwest University, Xi’an, 710069, China

    Hao Tang, Bin Wu, Cheng-yi Sun & Yu Song

  2. School of Physics, Northwest University, Xi’an, 710069, China

    Bin Wu

  3. Shaanxi Key Laboratory for Theoretical Physics Frontiers, Northwest University, Xi’an, 710069, China

    Hao Tang, Bin Wu, Cheng-yi Sun & Yu Song

  4. College of Physical and Technology, Yangzhou University, Yangzhou, 225009, China

    Rui-hong Yue

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  1. Hao Tang
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  2. Bin Wu
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  3. Cheng-yi Sun
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  4. Yu Song
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  5. Rui-hong Yue
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Correspondence to Bin Wu.

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Tang, H., Wu, B., Sun, Cy. et al. Entropy of Vaidya Black Hole on Apparent Horizon with Minimal Length Revisited. Int J Theor Phys 57, 2145–2150 (2018). https://doi.org/10.1007/s10773-018-3739-x

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  • DOI: https://doi.org/10.1007/s10773-018-3739-x

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