CFT Duals for Accelerating Black Holes

Abstract

The near horizon geometry of the rotating C-metric, describing accelerating Kerr-Newman black holes, is analysed. It is shown that, at extremality, even though not it is isomorphic to the extremal Kerr-Newman, it remains a warped and twisted product of $Ad{S}_2\times S^2$. Therefore the methods of the Kerr/CFT correspondence can successfully be applied to build a CFT dual model, whose entropy reproduce, through the Cardy formula, the Beckenstein-Hawking entropy of the accelerating black hole. The mass of accelerating Kerr-Newman black hole, which fulfil the first law of thermodynamics, is presented. Further generalisation in presence of an external Melvin-like magnetic field, used to regularise the conical singularity characteristic of the C-metrics, shows that the Kerr/CFT correspondence can be applied also for the accelerating and magnetised extremal black holes.

21 pages, published version

References in corpus (9)

• Near-horizon symmetries of extremal black holes
• CFT Duals for Extreme Black Holes
• Thermodynamics of Accelerating Black Holes
• Cargese Lectures on the Kerr/CFT Correspondence
• Thermodynamics of Regular Accelerating Black Holes
• Charging axisymmetric space-times with cosmological constant
• Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• Massless field perturbations of the spinning C metric

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• Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Black Hole Chemistry: the first 15 years
• CFT duals on extremal rotating NUT black hole
• Hairy Black Hole Chemistry
• Snapping swallowtails in accelerating black hole thermodynamics
• Gravitational perturbations from NHEK to Kerr
• Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
• Accelerating and Charged Type I Black Holes
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
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• Accelerating Black Hole Thermodynamics with Boost Time
• The shadows of accelerating Kerr-Newman black hole and constraints from M87*
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Conical Holographic Heat Engines
• Removal of conical singularities from rotating C-metrics and dual CFT entropy
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Rotating black holes and exotic compact objects in the Kerr/CFT correspondence within Rastall gravity
• Hidden conformal symmetry for the accelerating Kerr black holes
• Global First Laws of Accelerating Black Holes
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Hidden conformal symmetry for dyonic Kerr-Sen black hole and its gauged family
• Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond
• Three-dimensional energy-dependent $C$-metric: black hole solutions
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• Extremal Black Holes, Stueckelberg Scalars and Phase Transitions
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
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• Validity of black hole complementarity in an accelerating Schwarzschild black hole
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• On Acceleration in Three Dimensions
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
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