The Hamiltonian dynamics of bounded spacetime and black hole entropy: the canonical method

@article{Park2001TheHD,
  title={The Hamiltonian dynamics of bounded spacetime and black hole entropy: the canonical method},
  author={Mu-In Park},
  journal={Nuclear Physics},
  year={2001},
  volume={634},
  pages={339-369}
}
  • Mu-In Park
  • Published 25 November 2001
  • Physics
  • Nuclear Physics

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References

SHOWING 1-10 OF 66 REFERENCES

Entropy from conformal field theory at Killing horizons

On a manifold with a boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a

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

Black hole entropy and the Hamiltonian formulation of diffeomorphism invariant theories.

  • Brown
  • Physics
    Physical review. D, Particles and fields
  • 1995
An algorithm for placing the action of a diffeomorphism invariant theory in Hamiltonian form is presented, which depends on the variational derivative of the Lagrangian with respect to the Riemann tensor.

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 Poisson brackets: Demystification of some calculations

Recently it has been suggested by S. Carlip that black hole entropy can be derived from a central charge of the Virasoro algebra arising as a subalgebra in the surface deformations of General

Black hole entropy calculations based on symmetries

Symmetry-based approaches to the black hole entropy problem have a number of attractive features; in particular, they are very general and do not depend on the details of the quantization method.

Action Integrals and Partition Functions in Quantum Gravity

One can evaluate the action for a gravitational field on a section of the complexified spacetime which avoids the singularities. In this manner we obtain finite, purely imaginary values for the

Statistical entropy of a stationary dilaton black hole from the Cardy formula

With Carlip's boundary conditions, a standard Virasoro subalgebra with a corresponding central charge for a stationary dilaton black hole obtained in the low-energy effective field theory describing
...