Quantization of the Schwarzschild Black Hole

Details Quantization of the Schwarzschild Black Hole Quantization of the Schwarzschild Black Hole

1995-08-30

arxiv.org/abs/gr-qc/9508062v1

Int.J.Mod.Phys. D5 (1996) 227-250

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, plain-tex, no figures

Scientific paper

We quantize by the Dirac - Wheeler-DeWitt method the canonical formulation of the Schwarzschild black hole developed in a previous paper. We investigate the properties of the operators that generate rigid symmetries of the Hamiltonian, establish the form of the invariant measure under the rigid transformations, and determine the gauge fixed Hilbert space of states. We also prove that the reduced quantization method leads to the same Hilbert space for a suitable gauge fixing.

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