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Entropy spectrum of a Kerr anti-de Sitter black hole

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Abstract

The entropy spectrum of a spherically symmetric black hole was derived without the quasinormal modes in the work of Majhi and Vagenas. Extending this work to rotating black holes, we quantize the entropy and the horizon area of a Kerr anti-de Sitter black hole by two methods. The spectra of entropy and area are obtained via the Bohr–Sommerfeld quantization rule and the adiabatic invariance in the first way. By addressing the wave function of emitted (absorbed) particles, the entropy and the area are quantized in the second one. Both results show that the entropy and the area spectra are equally spaced.

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Acknowledgements

This work is supported in part by the Natural Science Foundation of China (Grant No. 11178018 and No. 11175039).

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Authors and Affiliations

  1. Institute of Theoretical Physics, China West Normal University, Nanchong, 637009, China

    Deyou Chen

  2. Department of Physics, Sichuan University, Chengdu, 610065, China

    Haitang Yang

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  1. Deyou Chen
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  2. Haitang Yang
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Correspondence to Haitang Yang.

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Chen, D., Yang, H. Entropy spectrum of a Kerr anti-de Sitter black hole. Eur. Phys. J. C 72, 2027 (2012). https://doi.org/10.1140/epjc/s10052-012-2027-9

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-2027-9

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