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(Anti-)de Sitter black hole thermodynamics and the generalized uncertainty principle. (English) Zbl 1072.83012

Summary: 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.

MSC:

83C57 Black holes
83C47 Methods of quantum field theory in general relativity and gravitational theory
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