Generic isolated horizons in loop quantum gravity
arXiv:1007.2768 · doi:10.1088/0264-9381/27/23/235024
Abstract
Isolated horizons model equilibrium states of classical black holes. A detailed quantization, starting from a classical phase space restricted to spherically symmetric horizons, exists in the literature and has since been extended to axisymmetry. This paper extends the quantum theory to horizons of arbitrary shape. Surprisingly, the Hilbert space obtained by quantizing the full phase space of \textit{all} generic horizons with a fixed area is identical to that originally found in spherical symmetry. The entropy of a large horizon remains one quarter its area, with the Barbero-Immirzi parameter retaining its value from symmetric analyses. These results suggest a reinterpretation of the intrinsic quantum geometry of the horizon surface.
13 pages
References in corpus (31)
- Background Independent Quantum Gravity: A Status Report
- Quantum Geometry and Black Hole Entropy
- Isolated and dynamical horizons and their applications
- The Thermodynamics of Black Holes
- Black hole entropy in Loop Quantum Gravity
- Black Hole Entropy from Loop Quantum Gravity
- Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
- Black hole entropy from Quantum Geometry
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Generic Isolated Horizons and their Applications
- Mechanics of Rotating Isolated Horizons
- Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity
- Geometry of Generic Isolated Horizons
- Black hole entropy and SU(2) Chern-Simons theory
- Multipole Moments of Isolated Horizons
- Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
- A length operator for canonical quantum gravity
- Quantum Black Hole Entropy
- An improved estimate of black hole entropy in the quantum geometry approach
- Black hole state counting in Loop Quantum Gravity: A number theoretical approach
- The length operator in Loop Quantum Gravity
- On Quantum Statistical Mechanics of a Schwarzschild Black Hole
- Quantum Black Holes: Entropy and Entanglement on the Horizon
- The Bekenstein Formula and String Theory (N-brane Theory)
- Quantum horizons and black hole entropy: Inclusion of distortion and rotation
- Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
- Symmetry and entropy of black hole horizons
- Entropy of Isolated Horizons revisited
- Black holes in full quantum gravity
- Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times
- Supersymmetric isolated horizons in ADS spacetime
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- Black Holes in Loop Quantum Gravity
- SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
- The SU(2) Black Hole entropy revisited
- Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
- Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy
- CFT/Gravity Correspondence on the Isolated Horizon
- Black hole entropy from loop quantum gravity in higher dimensions
- New Variables for Classical and Quantum Gravity in all Dimensions V. Isolated Horizon Boundary Degrees of Freedom
- Entropy of black holes with arbitrary shapes in loop quantum gravity
- Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
- BF theory explanation of the entropy for rotating isolated horizons
- A note on entanglement entropy and quantum geometry
- Quantum gravity at the corner
- Weakly Isolated Horizons: First order actions and gauge symmetries
- Some notes on the Kodama state, maximal symmetry, and the isolated horizon boundary condition
- Reformulation of Boundary BF Theory Approach to Statistical Explanation of the Entropy of Isolated Horizons
- The Gibbs paradox, Black hole entropy and the thermodynamics of isolated horizons
- Aspects of quantum gravity
- Extensions of the Duflo map and Chern-Simons expectation values
- Loop quantum gravity - a short review
- Entropy of generic quantum isolated horizons
- A note on electrical and thermodynamic properties of Isolated Horizon