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Wavefunction of a Black Hole and the Dynamical Origin of Entropy | | A.O.Barvinsky
; V.P.Frolov
; A.I.Zelnikov
; | | Date: |
19 Apr 1994 | | Journal: | Phys.Rev. D51 (1995) 1741-1763 | | Subject: | gr-qc | | Abstract: | Recently it was proposed to explain the dynamical origin of the entropy of a black hole by identifying its dynamical degrees of freedom with states of quantum fields propagating in the black-hole’s interior. The present paper contains the further development of this approach. The no-boundary proposal (analogous to the Hartle-Hawking no-boundary proposal in quantum cosmology) is put forward for defining the wave function of a black hole. This wave function is a functional on the configuration space of physical fields (including the gravitational one) on the three-dimensional space with the Einstein-Rosen bridge topology.It is shown that in the limit of small perturbations on the Kruskal background geometry the no-boundary wave function coincides with the Hartle-Hawking vacuum state. The invariant definition of inside and outside modes is proposed. The density matrix describing the internal state of a black hole is obtained by averaging over the outside modes. This density matrix is used to define the entropy of a black hole, which is to be divergent. It is argued that the quantum fluctuations of the horizon which are internally present in the proposed formalism may give the necessary cut-off and provide a black hole with the finite entropy. | | Source: | arXiv, gr-qc/9404036 | | Services: | Forum | Review | PDF | Favorites | |
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