Black hole thermodynamics with generalized uncertainty principle

2006/09/30 by Yun Soo Myung, Yong‐Wan Kim, Yong-Wan Kim +1 · 2 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:10.1016/j.physletb.2006.12.062

published as Phys.Lett.B645:393-397,2007 · 11 pages, 4 eps.figures, version to appear in PLB

arxiv created 2006/12/25 · openalex publication_date 2007/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We apply the generalized uncertainty principle to the thermodynamics of a small black hole. Here we have a black hole system with the UV cutoff. It is shown that the minimal length induced by the GUP interrupts the Gross–Perry–Yaffe phase transition for a small black hole. In order to see whether the black hole remnant takes place a transition to a large black hole, we introduce a black hole in a cavity (IR system). However, we fail to show the phase transition of the remnant to the large black hole.

Citations

• Black Hole Thermodynamics in a Box
• The Generalized Uncertainty Principle and Black Hole Remnants
• Thermodynamics of black holes in anti-de Sitter space
• The World as a Hologram
• Dimensional Reduction in Quantum Gravity

Cited by

• THERMODYNAMICS OF NONCOMMUTATIVE DE SITTER SPACE–TIME
• Hawking temperature in Taub-NUT (A)dS spaces via the generalized uncertainty principle