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Bolen, Brett; Cavaglià, Marco

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

Gen. Relativ. Gravitation 37, No. 7, 1255-1262 (2005).
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.

Cited in 19 Documents

MSC:

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

Keywords:

Black hole; de Sitter spacetime; Uncertainty principle
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\textit{B. Bolen} and \textit{M. Cavaglià}, Gen. Relativ. Gravitation 37, No. 7, 1255--1262 (2005; Zbl 1072.83012)
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