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

Author

Brett Bolen
Marco Cavaglia, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

B. Bolen and M. Cavaglia, "(Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle," General Relativity and Gravitation, vol. 37, no. 7, pp. 1255 - 1262, Springer Verlag, Jul 2005.

The definitive version is available at https://doi.org/10.1007/s10714-005-0108-x

Department(s)

Physics

Keywords and Phrases

Black hole; De Sitter spacetime; Uncertainty principle

International Standard Serial Number (ISSN)

0001-7701

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2005 Springer Verlag, All rights reserved.

Publication Date

01 Jul 2005