Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity

C. Meusburger, B. J. Schroers

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We propose a description of open universes in the Chern-Simons formulation of (2+1)-dimensional gravity where spatial infinity is implemented as a puncture. At this puncture, additional variables are introduced which lie in the cotangent bundle of the Poincaré group, and coupled minimally to the Chern-Simons gauge field. We apply this description of spatial infinity to open universes of general genus and with an arbitrary number of massive spinning particles. Using results of [9] we give a finite-dimensional description of the phase space and determine its symplectic structure. In the special case of a genus zero universe with spinless particles, we compare our result to the symplectic structure computed by Matschull in the metric formulation of (2+1)-dimensional gravity. We comment on the quantization of the phase space and derive a quantization condition for the total mass and spin of an open universe. © 2005 IOP Publishing Ltd.

Original languageEnglish
Pages (from-to)3689-3724
Number of pages36
JournalClassical and Quantum Gravity
Volume22
Issue number17
DOIs
Publication statusPublished - 7 Sep 2005

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