Black Hole Vacua and Rotation
arXiv:1005.1629 · doi:10.1016/j.nuclphysb.2011.02.017
Abstract
Recent developments suggest that the near-region of rotating black holes behaves like a CFT. To understand this better, I propose to study quantum fields in this region. An instructive approach for this might be to put a large black hole in AdS and to think of the entire geometry as a toy model for the ``near-region". Quantum field theory on rotating black holes in AdS can be well-defined (unlike in flat space), if fields are quantized in the co-rotating-with-the-horizon frame. First, some generalities of constructing Hartle-Hawking Green functions in this approach are discussed. Then as a specific example where the details are easy to handle, I turn to 2+1 dimensions (BTZ), write down the Green functions explicitly starting with the co-rotating frame, and observe some structural similarities they have with the Kerr-CFT scattering amplitudes. Finally, in BTZ, there is also an alternate construction for the Green functions: we can start from the covering AdS_3 space and use the method of images. Using a 19th century integral formula, I show the equality between the boundary correlators arising via the two constructions.
25 pages, 3 figures
References in corpus (26)
- CFT Duals for Extreme Black Holes
- Kerr-AdS/CFT Correspondence in Diverse Dimensions
- Bicycling Black Rings
- No Dynamics in the Extremal Kerr Throat
- Black ring with two angular momenta
- Kerr-CFT and gravitational perturbations
- Holographic Duals of Kaluza-Klein Black Holes
- Another Realization of Kerr/CFT Correspondence
- Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
- Orthogonal black di-ring solution
- The Kerr/CFT Correspondence and String Theory
- Gravitational instability of simply rotating AdS black holes in higher dimensions
- Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
- Asymptotically AdS_3 Solutions to Topologically Massive Gravity at Special Values of the Coupling Constants
- Superradiance and Instability of Black Holes
- The CFT-interpolating Black Hole in Three Dimensions
- Emerging AdS from Extremally Rotating NS5-branes
- Extremal Isolated Horizon/CFT Correspondence
- Holographic RG flow dual to attractor flow in extremal black holes
- Instabilities of Kerr-AdS_5 x S^5 Spacetime
- Conformal Symmetry for Rotating D-branes
- Extremal Three-point Correlators in Kerr/CFT
- The Entropy for General Extremal Black Holes
- Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
- Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity
- Exact relativistic viscous fluid solutions in near horizon extremal Kerr background
Cited by in corpus (12)
- Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
- On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
- 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 of Self-Dual Warped AdS_3 Black Holes in Topological Massive Gravity
- Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
- Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
- New Near Horizon Limit in Kerr/CFT
- Quantum Field Theory, Black Holes and Holography
- Analytical approach to phase transitions in rotating and non-rotating 2D holographic superconductors