Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity
General Relativity and Quantum Cosmology
2009-10-28 v2
Abstract
In this paper we derive an expression for the conserved Pauli-Lubanski scalar in 't Hooft's polygon approach to 2+1-dimensional gravity coupled to point particles. We find that it is represented by an extra spatial shift in addition to the usual identification rule (being a rotation over the cut). For two particles this invariant is expressed in terms of 't Hooft's phase-space variables and we check its classical limit.
Keywords
Cite
@article{arxiv.gr-qc/9601025,
title = {Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity},
author = {M. Welling and M. Bijlsma},
journal= {arXiv preprint arXiv:gr-qc/9601025},
year = {2009}
}
Comments
Some errors are corrected and a new introduction and discussion are added. 6 pages Latex, 4 eps-figures