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} }
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References
SHOWING 1-10 OF 66 REFERENCES
Entropy from conformal field theory at Killing horizons
- Physics
- 1999
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 and the Hamiltonian formulation of diffeomorphism invariant theories.
- PhysicsPhysical 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.
Black hole entropy from Poisson brackets: Demystification of some calculations
- Mathematics
- 1999
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
- Physics
- 2001
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
- Physics
- 1977
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
- Mathematics
- 2000
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…
Causal boundary entropy from horizon conformal field theory.
- PhysicsPhysical review letters
- 2001
The effective quantum theory of near horizon regions of classical four-dimensional spatially flat, Friedman-Robertson-Walker spacetimes is shown to be approximately a two-dimensional conformal field…