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arXiv · gr-qc/9709074

Dynamical Ambiguities in Singular Gravitational Field

George Jorjadze·Wlodzimierz Piechocki
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Abstract

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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George Jorjadze, Wlodzimierz Piechocki. 1997-09-27. Dynamical Ambiguities in Singular Gravitational Field. https://doi.org/10.1088/0264-9381%2F15%2F5%2F002

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