The entropy for general extremal black holes

2010/02/28 by Jianwei Mei · 2 citations
Physics and Astronomy · #Binary entropy function #Black Holes and Theoretical Physics #Black hole thermodynamics #Boltzmann's entropy formula #Cosmology and Gravitation Theories #Cover (algebra) #Entropy (arrow of time) #Noncommutative and Quantum Gravity Theories #Rotational symmetry #Rényi entropy #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep04(2010)005

published as JHEP 1004:005,2010 · Minor corrections, section 5 refined, references added.

openalex publication_date 2010/04/01 · arxiv created 2010/04/09 · arxiv updated 2010/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We use the Kerr/CFT correspondence to calculate the entropy for all known extremal stationary and axisymmetric black holes. This is done with the help of two ansatzs that are general enough to cover all such known solutions. Considering only the contribution from the Einstein-Hilbert action to the central charge(s), we find that the entropy obtained by using Cardy's formula exactly matches with the Bekenstein-Hawking entropy.

Citations

• Charged rotating black holes in six-dimensional gauged supergravity
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Entropy from conformal field theory at Killing horizons

Cited by

• Black hole vacua and rotation
• Deformed hidden conformal symmetry for rotating black holes