Holographic description of Kerr-Bolt-AdS-dS Spacetimes

Abstract

We show that there exists a holographic 2D CFT description of a Kerr-Bolt-AdS-dS spacetime. We first consider the wave equation of a massless scalar field propagating in extremal Kerr-Bolt-AdS-dS spacetimes and find in the "near region", the wave equation in extremal limit could be written in terms of the $SL(2,R)$ quadratic Casimir. This suggests that there exist dual CFT descriptions of these black holes. In the probe limit, we compute the scattering amplitudes of the scalar off the extremal black holes and find perfect agreement with the CFT prediction. Furthermore we study the holographic description of the generic four dimensional non-extremal Kerr-Bolt-AdS-dS black holes. We find that if focusing on the near-horizon region, for the massless scalar scattering in the low-frequency limit, the radial equation could still be rewritten as the $SL(2,R)$ quadratic Casimir, suggesting the existence of dual 2D description. We read the temperatures of the dual CFT from the conformal coordinates and obtain the central charges by studying the near-horizon geometry of near-extremal black holes. We recover the macroscopic entropy from the microscopic counting. We also show that for the superradiant scattering, the retarded Green's functions and the corresponding absorption cross sections are in perfect match with CFT prediction.

17 pages, typos corrected, references added

References in corpus (18)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• CFT Duals for Extreme Black Holes
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• No Dynamics in the Extremal Kerr Throat
• Kerr-CFT and gravitational perturbations
• Greybody Factors and Charges in Kerr/CFT
• Central Charge for AdS_2 Quantum Gravity
• Another Realization of Kerr/CFT Correspondence
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• Microscopic Theory of Black Hole Superradiance
• Hidden conformal symmetry of rotating charged black holes
• On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Extremal Three-point Correlators in Kerr/CFT
• Hidden Conformal Symmetry of Self-Dual Warped AdS_3 Black Holes in Topological Massive Gravity
• The Disjointed Thermodynamics of Rotating Black Holes With a NUT Twist
• Hidden Conformal Symmetry of Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity

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• Holographic description of three dimensional Godel black hole
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• Dual CFT on Nariai limit for Kerr-Sen-dS black holes
• Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity
• Kerr-Bolt Black Hole Entropy and Soft Hair