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(Anti-)de Sitter black hole thermodynamics and the generalized uncertainty principle

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Abstract

We extend the derivation of the Hawking temperature of a Schwarzschild black hole via the Heisenberg uncertainty principle to the de Sitter and anti-de Sitter spacetimes. The thermodynamics of the Schwarzschild-(anti-)de Sitter black holes is obtained from the generalized uncertainty principle of string theory and non-commutative geometry. This may explain why the thermodynamics of (anti-)de Sitter-like black holes admits a holographic description in terms of a dual quantum conformal field theory, whereas the thermodynamics of Schwarzschild-like black holes does not.

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  1. Department of Physics and Astronomy, University of Mississippi University, MS 38677-1848, U.S.A.

    Brett Bolen & Marco Cavagliá

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  1. Brett Bolen
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  2. Marco Cavagliá
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Correspondence to Marco Cavagliá.

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Bolen, B., Cavagliá, M. (Anti-)de Sitter black hole thermodynamics and the generalized uncertainty principle. Gen Relativ Gravit 37, 1255–1262 (2005). https://doi.org/10.1007/s10714-005-0108-x

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  • DOI: https://doi.org/10.1007/s10714-005-0108-x

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