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 72 REFERENCES

Quantum theory of geometry: I. Area operators

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

Quantum geometry and black hole entropy

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

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

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

Quantum black hole entropy

On the metric operator for quantum cylindrical waves

Every (one-polarization) cylindrical wave solution of vacuum general relativity is completely determined by a corresponding axisymmetric solution to the free scalar wave equation on an auxiliary (2 +

Discreteness of area and volume in quantum gravity [Nucl. Phys. B 442 (1995) 593]

Geometrical entropy from loop quantum gravity

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.

  • Rovelli
  • Physics
    Physical 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.

Logarithmic corrections to black hole entropy, from the Cardy formula

Many recent attempts to calculate black hole entropy from first principles rely on conformal field theory techniques. By examining the logarithmic corrections to the Cardy formula, I compute the
...