On holographic description of the Kerr-Newman-AdS-dS black holes

2010/06/30 by Bin Chen, Jiang Long · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Conformal map #Graviton #Holography #Massless particle #Minkowski space #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scattering #hep-th

paper · pdf · doi:10.1007/jhep08(2010)065

published as JHEP 1008:065,2010 · 22 pages; minor corrections, conlusion unchanged, references added;published version

openalex publication_date 2010/08/01 · arxiv created 2010/08/12 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper, we study the holographic description of the generic four-dimensional non-extremal Kerr-Newman-AdS-dS black holes. We find that if focusing on the near-horizon region, for the massless scalar scattering in the low-frequency limit, there exists hidden conformal symmetry on the solution space. Similar to the Kerr case, this suggests that the Kerr-Newman-AdS-dS black hole is dual to a two-dimensional CFT with central charges c_L=c_R=(6a(r₊+r_∗))/(k) and temperatures T_L=(k(r₊²+r_∗²+2a²))/(4πaΞ(r₊+r_∗)), T_R=(k(r₊-r_∗))/(4πaΞ). The macroscopic Bekenstein-Hawking entropy could be recovered from the microscopic counting in dual CFT via the Cardy formula. Using the Minkowski prescription, we compute the real-time correlators of the scalar, photon and graviton in near horizon geometry of near extremal Kerr-AdS-dS black hole. In all these cases, the retarded Green's function and the corresponding absorption cross section are in perfect match with CFT prediction. We further discuss the low-frequency scattering of a charged scalar by a Kerr-Newman-AdS-dS black hole and find the dual CFT description.

Citations

• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Conformal invariance and universality in finite-size scaling
• Extremal Kerr black hole/CFT correspondence in the five-dimensional Gödel universe
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• KERR/CFT CORRESPONDENCE AND FIVE-DIMENSIONAL BMPV BLACK HOLES

Cited by

• Holographic Q-picture of Kerr-Newman-AdS-dS Black Hole
• Note on thermodynamics method of black hole/CFT correspondence
• Vector fields in Kerr/CFT correspondence

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• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS₄ Black Holes