Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse

Details Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse Dirac Constraint Quantization of a Dilatonic Model of Gravitational Collapse

1996-08-05

arxiv.org/abs/gr-qc/9608011v1

Phys.Rev.D55:795-808,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages, LATEX, no figures, submitted to Physical Review D

Scientific paper

10.1103/PhysRevD.55.795

We present an anomaly-free Dirac constraint quantization of the string-inspired dilatonic gravity (the CGHS model) in an open 2-dimensional spacetime. We show that the quantum theory has the same degrees of freedom as the classical theory; namely, all the modes of the scalar field on an auxiliary flat background, supplemented by a single additional variable corresponding to the primordial component of the black hole mass. The functional Heisenberg equations of motion for these dynamical variables and their canonical conjugates are linear, and they have exactly the same form as the corresponding classical equations. A canonical transformation brings us back to the physical geometry and induces its quantization.

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