(Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
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.
B. Bolen and M. Cavaglia, "(Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle," General Relativity and Gravitation, vol. 37, no. 7, pp. 1255-1262, Springer Verlag, Jul 2005.
The definitive version is available at https://doi.org/10.1007/s10714-005-0108-x
Keywords and Phrases
Black hole; De Sitter spacetime; Uncertainty principle
International Standard Serial Number (ISSN)
Article - Journal
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