The Torus Universe in the Polygon Approach to 2+1-Dimensional Gravity
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
In this paper we describe the matter-free toroidal spacetime in 't Hooft's polygon approach to 2+1-dimensional gravity (i.e. we consider the case without any particles present). Contrary to earlier results in the literature we find that it is not possible to describe the torus by just one polygon but we need at least two polygons. We also show that the constraint algebra of the polygons closes.
Cite
@article{arxiv.gr-qc/9606011,
title = {The Torus Universe in the Polygon Approach to 2+1-Dimensional Gravity},
author = {M. Welling},
journal= {arXiv preprint arXiv:gr-qc/9606011},
year = {2009}
}
Comments
18 pages Latex, 13 eps-figures