2010/06/30 by Bruno Carneiro da Cunha, Amilcar R. de Queiroz · 19 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Central charge #Charged black hole #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Event horizon #Extremal black hole #Horizon #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Rotating black hole #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep08(2010)076
published in Journal of High Energy Physics 2010(8) (Springer Nature) · 19 pages, JHEP3, no figures. V2: References added, small typos fixed
arxiv created 2010/07/02 · openalex publication_date 2010/08/01 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze the near-horizon limit of a general black hole with two commuting killing vector fields in the limit of zero temperature. We use black hole thermodynamics methods to relate asymptotic charges of the complete spacetime to those obtained in the near-horizon limit. We then show that some diffeomorphisms do alter asymptotic charges of the full spacetime, even though they are defined in the near horizon limit and, therefore, count black hole states. We show that these conditions are essentially the same as considered in the Kerr/CFT corresponcence. From the algebra constructed from these diffeomorphisms, one can extract its central charge and then obtain the black hole entropy by use of Cardy's formula.