Logarithmic correction to the Cardy-Verlinde formula in Achúcarro-Oritz black hole

2003/09/30 by M. R. Setare
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1140/epjc/s2004-01648-1

published as Eur.Phys.J. C33 (2004) 555-559 · 10 pages, no figure,LaTeX,,references added, typos corrected,clarifying comments added in Introduction, no physics changed, version to appear in Eur.Phys.J.C (2004)

arxiv created 2004/01/23 · openalex publication_date 2004/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

In this paper we calculate leading order correction due to small statistical fluctuations around equilibrium, to the Bekenstein-Hawking entropy formula for the Achucarro-Oritz black hole, which is the most general two-dimensional black hole derived from the three-dimensional rotating Banados-Teitelboim-Zanelli black hole. Then we obtain the same correction to the Cardy-Verlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension).

Citations

• Exact black hole entropy bound in conformal field theory
• Black hole in three-dimensional spacetime
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Black holes in general relativity
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• EXACT RESULTS FOR THE BTZ BLACK HOLE
• Open strings, 2D gravity, and AdS/CFT correspondence
• New holographic entropy bound from quantum geometry
• The dS/CFT Correspondence
• The World as a Hologram
• Geometry of the 2+1 Black Hole
• The Cardy-Verlinde formula and entropyof topological Kerr- Newman black holes in de Sitter spaces
• The large N limit of superconformal field theories and supergravity