Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity

Details Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity Pauli-Lubanski scalar in the Polygon Approach to 2+1-Dimensional Gravity

1996-01-17

arxiv.org/abs/gr-qc/9601025v2

Class.Quant.Grav. 13 (1996) 1769-1774

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Some errors are corrected and a new introduction and discussion are added. 6 pages Latex, 4 eps-figures

Scientific paper

10.1088/0264-9381/13/7/010

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 $\Delta$ 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.

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