Quantum geometry of isolated horizons and black hole entropy
@article{Ashtekar2000QuantumGO, title={Quantum geometry of isolated horizons and black hole entropy}, author={Abhay Ashtekar and John C. Baez and Kirill Krasnov}, journal={Advances in Theoretical and Mathematical Physics}, year={2000}, volume={4}, pages={1-94} }
Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner boundaries. The emphasis is on the quantum geometry of the horizon. Polymer excitations of the bulk quantum geometry pierce the horizon endowing it with area. The intrinsic geometry of the horizon is then described by the quantum Chern-Simons theory of a U(1…
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References
SHOWING 1-10 OF 84 REFERENCES
Quantum theory of geometry: I. Area operators
- Mathematics
- 1996
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated…
Linking topological quantum field theory and nonperturbative quantum gravity
- Mathematics
- 1995
Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory in which the…
Quantum geometry and black hole entropy
- Physics
- 1998
A ``black hole sector'' of nonperturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theory on the horizon.…
Black Hole Entropy from Conformal Field Theory in Any Dimension
- Physics
- 1998
Restricted to a black hole horizon, the “gauge” algebra of surface deformations in general relativity contains a Virasoro subalgebra with a calculable central charge. The fields in any quantum theory…
Physics with nonperturbative quantum gravity: Radiation from a quantum black hole
- Physics
- 1996
We study quantum gravitational effects on black hole radiation, using loop quantum gravity. Bekenstein and Mukhanov have recently considered the modifications caused by quantum gravity on Hawking's…
Apparent horizons, black hole entropy and loop quantum gravity
- Physics
- 1999
In recent work on black hole entropy in non-perturbative quantum gravity, an action for the black hole sector of the phase space is introduced and (partially) quantized. We give a number of…
Geometrical entropy from loop quantum gravity
- Physics
- 1997
We adopt the point of view that (Riemannian) classical and (loop-based) quantum descriptions of geometry are macro- and microdescriptions in the usual statistical mechanical sense. This gives rise to…
Black Hole Entropy from Loop Quantum Gravity.
- PhysicsPhysical review letters
- 1996
This work argues that for a (macroscopically) Schwarzschild black hole this ensemble is formed by horizons with the same area, and obtains a statistical entropy proportional to the area, as in the Bekenstein-Hawking formula.