The 2+1 Kepler Problem and Its Quantization

Details The 2+1 Kepler Problem and Its Quantization The 2+1 Kepler Problem and Its Quantization

2001-03-23

arxiv.org/abs/gr-qc/0103085v1

Class.Quant.Grav.18:2731-2784,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

59 pages, LaTeX2e, 9 eps figures

Scientific paper

10.1088/0264-9381/18/14/310

We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass frame. When the system is quantized, we find some possibly general effects of quantum gravity, such as a minimal distances and a foaminess of the spacetime at the order of the Planck length. We also obtain a quantization of geometry, which restricts the possible asymptotic geometries of the universe.

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