General Relativity and Gravitation

, Volume 37, Issue 7, pp 1255–1262

(Anti-)de Sitter black hole thermodynamics and the generalized uncertainty principle

Authors

  • Brett Bolen
    • Department of Physics and AstronomyUniversity of Mississippi University
    • Department of Physics and AstronomyUniversity of Mississippi University
Research Article

DOI: 10.1007/s10714-005-0108-x

Cite this article as:
Bolen, B. & Cavagliá, M. Gen Relativ Gravit (2005) 37: 1255. doi:10.1007/s10714-005-0108-x

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.

Keywords

Black hole de Sitter spacetime Uncertainty principle

Copyright information

© Springer-Verlag 2005