On the Near Horizon Canonical Quantum Microstates from and Conformal Weyl Gravity
arXiv:1707.05796 · doi:10.3390/universe3030056
Abstract
We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the Conformal Weyl Gravity formalism. We do this within an correspondence and by performing a Robinson-Wilczek two dimensional reduction, thus enabling the construction of an effective quantum theory of the remaining field content. The resulting energy momentum tensors generate asymptotic Virasoro algebras, to -wave, with calculable central extensions. These centers in conjunction with their proper regularized lowest Virasoro eigen-modes yield the Bekenstein-Hawking black hole entropy via the statistical Cardy formula. We also analyze quantum holomorphic fluxes of the dual CFTs in the near horizon, giving rise to finite Hawking temperatures weighted by the central charges of the respective black hole spacetimes. We conclude with a discussion and outlook for future work.
arXiv comment18 pages, no figures. Accepted version contributed to mdpi's Universe collection on open questions in black hole physics
References in corpus (31)
- A Stress Tensor for Anti-de Sitter Gravity
- Black Hole Entropy from Near-Horizon Microstates
- The Kerr/CFT Correspondence
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- Black Hole Entropy from Conformal Field Theory in Any Dimension
- Relationship between Hawking Radiation and Gravitational Anomalies
- Entropy from Conformal Field Theory at Killing Horizons
- Hidden Conformal Symmetry of the Kerr Black Hole
- Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
- Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
- Holographic Gravitational Anomalies
- Conformal description of horizon's states
- No Dynamics in the Extremal Kerr Throat
- Hawking radiation from rotating black holes in anti-de Sitter spaces via gauge and gravitational anomalies
- The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
- On 4D-Hawing Radiation from Effective Action
- Quantum Black Holes in Two Dimensions
- Near-Horizon Conformal Symmetry and Black Hole Entropy in Any Dimension
- Comments on `` Black Hole Entropy from Conformal Field Theory in Any Dimension ''
- Weyl gravity as general relativity
- Gravitational anomalies: a recipe for Hawking radiation
- Extremal and nonextremal Kerr/CFT correspondences
- Liouville Lost, Liouville Regained: Central Charge in a Dynamical Background
- Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality
- A Near Horizon CFT Dual for Kerr-Newman-
- Hawking radiation, chirality, and the principle of effective theory of gravity
- Statistical entropy of the Schwarzschild black hole
- Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
- Nonextremal Kerr/CFT on a stretched horizon
- Central charge
- On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry