Hidden conformal symmetry for the accelerating Kerr black holes

Abstract

According to Kerr/CFT correspondence, some aspects of extremal and non-extremal Kerr black holes could be explained by using a 2D CFT. This paper is devoted to show how Kerr/CFT correspondence can work for the slowly accelerating Kerr black holes, in both extremal and non-extremal cases. The equation of motion for low frequency scalar probes in the near region possesses the "hidden" conformal symmetry, similar to that of the non-accelerating version. Assuming a particular value of associated central charge, Cardy formula in 2D CFT can recover the Bekenstein-Hawking entropy for the black hole under consideration. Moreover, agreements in the scattering process between gravitational and 2D CFT dual suggest the existence of slowly accelerating Kerr/CFT duality.

17 pages, no figures; v2: 19 pages, refs added, a new appendix for Kretschmann scalar

References in corpus (13)

• Thermodynamics of Accelerating Black Holes
• Cargese Lectures on the Kerr/CFT Correspondence
• Black Hole Thermodynamics with Conical Defects
• Thermodynamics of Regular Accelerating Black Holes
• Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
• CFT Duals for Accelerating Black Holes
• Hidden Conformal Symmetry of Extremal Black Holes
• Hidden Conformal Symmetry and Quasi-normal Modes
• Massless field perturbations of the spinning C metric
• Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy
• Separability of test fields equations on the C-metric background
• Separability of test fields equations on the C-metric background II. Rotating case and the Meissner effect
• Hidden Conformal Symmetry for Vector Field on Various Black Hole Backgrounds

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• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity
• Quasinormal modes of gravitational perturbation for uniformly accelerated black holes
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence
• Three Dimensional Black Hole in the Low Energy Heterotic String Theory