2013/01/31 by Bin Chen, Zhao Xue, Jiaju Zhang +1 · 3 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #Einstein #Entropy (arrow of time) #Extremal black hole #Geometry #Mathematical physics #Mathematics #Physics #Symmetry (geometry) #Theoretical physics #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep03(2013)102
published as JHEP 1303 (2013) 102 · 31 pages, references added, published version
openalex publication_date 2013/03/01 · arxiv created 2013/04/03 · arxiv updated 2013/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the paper we further refine the thermodynamics method of black hole/CFT correspondence. We show that one can derive the central charges of different holographic pictures directly from the entropy product S+S- if it is mass-independent, for a black hole in the Einstein gravity or the gravity without diffeomorphism anomaly. For a general black hole in the Einstein gravity that admits holographic descriptions, we show that the thermodynamics method and asymptotic symmetry group (ASG) analysis can always give consistent results in the extreme limit. Furthermore, we discuss the relation between black hole thermodynamics and the hidden conformal symmetry. We show that the condition T+A+=T-A-, with A_± being the outer and inner horizon areas, is the necessary, but not sufficient, condition for a black hole to have the hidden conformal symmetry. In particular, for the Einstein(-Maxwell) gravity T+A+=T-A- is just the condition T+S+=T-S-, with S_± being the outer and inner horizon entropies, which is the condition for the entropy product S+S- being mass-dependent. When there exists the hidden conformal symmetry in the low-frequency scattering off the generic non-extremal black hole, it always leads to the same temperatures of dual CFT as the ones got from the thermodynamics method.