The 2+1 Kepler Problem and Its Quantization
General Relativity and Quantum Cosmology
2010-05-28 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/0103085,
title = {The 2+1 Kepler Problem and Its Quantization},
author = {Jorma Louko and Hans-Juergen Matschull},
journal= {arXiv preprint arXiv:gr-qc/0103085},
year = {2010}
}
Comments
59 pages, LaTeX2e, 9 eps figures