Thermodynamics of a black hole based on a generalized uncertainty principle

2007/11/30 by Wontae Kim, E. J. Son, Edwin J. Son +1 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/01/035

published as JHEP0801:035,2008 · 12 pages, 4 figures; v2. to appear in JHEP

openalex publication_date 2008/01/14 · arxiv created 2008/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study thermodynamic quantities and the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation which is extended in a symmetric way with respect to the space and momentum without loss of generality. Two parameters in the uncertainty relation affect the thermodynamical quantities such as energy, entropy, and the heat capacity. In particular, it can be shown that the small black hole is unstable and it may decay either into a minimal black hole or a large black hole. We discuss a constraint for a large black hole comparable to the size of the cavity in connection with the critical mass.

Citations

• Black Hole Thermodynamics in a Box
• The Generalized Uncertainty Principle and Black Hole Remnants
• Thermodynamics of black holes in anti-de Sitter space
• Particle creation by black holes
• Tests of Quantum Gravity via Generalized Uncertainty Principle

Cited by

• Quantum tunneling from a high dimensional Gödel black hole
• Hawking temperature in Taub-NUT (A)dS spaces via the generalized uncertainty principle
• Minimal Length, Measurability and Gravity
• Thermodynamics of Black Holes and the Symmetric Generalized Uncertainty Principle
• Generalized uncertainty principle and the conformally coupled scalar field quantum cosmology
• Quantum gravity and recovery of information in black hole evaporation

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