Dynamical Ambiguities in Singular Gravitational Field

Details Dynamical Ambiguities in Singular Gravitational Field Dynamical Ambiguities in Singular Gravitational Field

1997-09-27

arxiv.org/abs/gr-qc/9709074v1

Class.Quant.Grav.15:L41-L45,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, latex, no figures, submitted for publication

Scientific paper

10.1088/0264-9381/15/5/002

We consider particle dynamics in singular gravitational field. In 2d spacetime the system splits into two independent gravitational systems without singularity. Dynamical integrals of each system define $sl(2,R)$ algebra, but the corresponding symmetry transformations are not defined globally. Quantization leads to ambiguity. By including singularity one can get the global $SO(2.1)$ symmetry. Quantization in this case leads to unique quantum theory.

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