Entropy of(2+1)-dimensional de Sitter black hole to all orders in the Planck length

2007/09/19 by Yong‐Wan Kim, Yong-Wan Kim, Young-Jai Park · 19 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cutoff #Entropy (arrow of time) #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Planck #Quantum mechanics #Thermodynamics #gr-qc

paper · pdf · doi:10.1103/physrevd.77.067501

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 77(6) (American Physical Society) · 10 pages, two references added

arxiv created 2007/09/19 · openalex publication_date 2008/03/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the statistical entropy of a scalar field on the background of (2+1)-dimensional de Sitter space without an artificial cutoff considering corrections to all orders in the Planck length from a generalized uncertainty principle on the quantum state density. The desired entropy proportional to the horizon perimeter is obtained.

Citations

• Black hole thermodynamics with generalized uncertainty principle
• On the LambertW function
• Entropy of (2+1) dimensional de Sitter space in terms of the brick wall method
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Logarithmic corrections to black hole entropy, from the Cardy formula
• Particle creation by black holes
• Generalized second law of thermodynamics in black-hole physics
• Black Holes and Entropy

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