Warped symmetries of the Kerr black hole
Ankit Aggarwal, Alejandra Castro, Stéphane Detournay
Abstract
A bstract We propose a set of diffeomorphism that act non-trivially near the horizon of the Kerr black hole. We follow the recent developments of Haco-Hawking-Perry-Strominger to quantify this phase space, with the most substantial difference being our choice of vectors fields. Our gravitational charges are organized into a Virasoro-Kac-Moody algebra with non-trivial central extensions. We interpret this algebra as arising from a warped conformal field theory. Using the data we can infer from this warped CFT description, we capture the thermodynamic properties of the Kerr black hole.
Topics & Concepts
PhysicsDiffeomorphismHomogeneous spaceBlack hole (networking)Theoretical physicsRotating black holeConformal mapHorizonConformal field theoryGravitationField (mathematics)Mathematical physicsKilling vector fieldSet (abstract data type)Black hole thermodynamicsCentral chargeGeneral relativityGravitational fieldBTZ black holeQuantum electrodynamicsEvent horizonBlack braneExtremal black holeClassical mechanicsPhase (matter)White holeEinstein field equationsBlack Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsNoncommutative and Quantum Gravity Theories