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Spectroscopy of the Reissner–Nordström–Anti-de Sitter Black Hole via Adiabatic Invariance

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Abstract

By combining the black hole property of adiabaticity and the oscillating velocity of the black hole horizon, we study the entropy and the area spectra of the Reissner–Nordström–anti-de Sitter black hole. Instead of using the quasi-normal mode frequencies, we utilize the oscillating velocity of the event horizon in the tunneling framework to obtain the black hole spectroscopy via adiabatic invariance. The results show that, both of the area spectrum and the entropy spectrum are equally spaced and independent on the parameters of the black hole.

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Acknowledgements

This work is partly supported by the Youth Foundation of Education Department of Sichuan Province Grant No. 11ZB032, the Key Projects Foundation of China West Normal University Grant No. 12A003, and the National Natural Science Foundation of China Grants Nos. 11204249 and 11147116.

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

    X. G. Lan

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  1. X. G. Lan
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Correspondence to X. G. Lan.

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Lan, X.G. Spectroscopy of the Reissner–Nordström–Anti-de Sitter Black Hole via Adiabatic Invariance. Int J Theor Phys 52, 4557–4561 (2013). https://doi.org/10.1007/s10773-013-1773-2

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  • DOI: https://doi.org/10.1007/s10773-013-1773-2

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