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

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

2004-11-17

arxiv.org/abs/gr-qc/0411086v1

Gen.Rel.Grav. 37 (2005) 1255-1262

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, revtex4

Scientific paper

10.1007/s10714-005-0108-x

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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