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Near extremal Schwarzschild-de Sitter black hole area spectrum from quasi-normal modes

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Abstract

Using the quasi-normal modes frequency of near extremal Schwar-zschild-de Sitter black holes, we obtain area and entropy spectrum for the black hole horizon. By using Bohr-Sommerfeld quantization for an adiabatic invariant I = ∫dEω(E), where E is the energy of the system and ω(E) is the vibrational frequency, we arrive at an equally spaced mass spectrum. In the other terms, we extend directly the Kunstatter’s approach kun [6] to determine mass and entropy spectrum of near extremal Schwarzschild-de Sitter black holes which are asymptotically de Sitter rather than asymptotically flat. We show the mass and area spectrum is equally spaced only for a fixed l. For different l there are multiplets with different values of spacing.

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Authors and Affiliations

  1. Physics Dept. Inst. for Studies in Theor, Physics and Mathematics (IPM), P. O. Box 19395-5531, Tehran, Iran

    M. R. Setare

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  1. M. R. Setare
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Correspondence to M. R. Setare.

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Setare, M.R. Near extremal Schwarzschild-de Sitter black hole area spectrum from quasi-normal modes. Gen Relativ Gravit 37, 1411–1417 (2005). https://doi.org/10.1007/s10714-005-0125-9

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  • DOI: https://doi.org/10.1007/s10714-005-0125-9

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