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(Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle

Brett Bolen·Marco Cavaglia
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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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Brett Bolen, Marco Cavaglia. 2004-11-17. (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle. https://doi.org/10.1007/s10714-005-0108-x

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