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

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.

10 pages, revtex4

References in corpus (1)

• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle

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