Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
arXiv:1007.3634 · doi:10.1016/j.nuclphysb.2010.10.020
Abstract
Toward the Kerr/CFT correspondence for generic non-extremal Kerr black hole, the analysis of scattering amplitudes by near extremal Kerr provides a clue. This pursuit reveals a hidden conformal symmetry in the law frequency wave equation for a scalar field in a certain spacetime region referred to as the near region. For extremal case, the near region is expected to be the near horizon region in which the correspondence via the asymptotic symmetry is studied. We investigate the hidden conformal symmetry in the near horizon limit and consider the relation between the hidden conformal symmetry and the asymptotic symmetry in the near horizon limit. By using an appropriate definition of the quasi-local charge, we obtain the deviation of the entropy from the extremality.
23 pages
References in corpus (25)
- Surface charge algebra in gauge theories and thermodynamic integrability
- 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 Charges in Extreme Black Hole/CFT Correspondence
- Holographic Duals of Kaluza-Klein Black Holes
- Another Realization of Kerr/CFT Correspondence
- Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
- The Kerr/CFT Correspondence and String Theory
- Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
- Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
- Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
- The CFT-interpolating Black Hole in Three Dimensions
- Stability of warped AdS3 vacua of topologically massive gravity
- Emerging AdS from Extremally Rotating NS5-branes
- 5D Extremal Rotating Black Holes and CFT duals
- Extremal Isolated Horizon/CFT Correspondence
- Holographic RG flow dual to attractor flow in extremal black holes
- On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
- Conformal Symmetry for Rotating D-branes
- Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
- Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes
- Near the horizon of 5D black rings
Cited by in corpus (13)
- Hidden Conformal Symmetry of Extremal Black Holes
- Hidden Conformal Symmetry and Quasi-normal Modes
- Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
- Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
- Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes
- Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
- New Near Horizon Limit in Kerr/CFT
- Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
- Holographic description of three dimensional Godel black hole
- Scaling dimensions in hidden Kerr/CFT
- Holographic Q-Picture of Black Holes in Five Dimensional Minimal Supergravity
- Generalized Hidden Conformal Symmetry in Quadratic Gravity
- New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In Gravity