Meusburger C, Schönfeld T (2011)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2011
Publisher: Institute of Physics: Hybrid Open Access
Book Volume: 28
Article Number: 125008
Journal Issue: 12
DOI: 10.1088/0264-9381/28/12/125008
We consider (2+1)-gravity with a vanishing cosmological constant as a constrained dynamical system. By applying Dirac's gauge fixing procedure, we implement the constraints and determine the Dirac bracket on the gauge-invariant phase space. The chosen gauge fixing conditions have a natural physical interpretation and specify an observer in the spacetime. We derive explicit expressions for the resulting Dirac brackets and discuss their geometrical interpretation. In particular, we show that specifying an observer with respect to two point particles gives rise to conical spacetimes, whose deficit angle and time shift are determined, respectively, by the relative velocity and minimal distance of the two particles. © 2011 IOP Publishing Ltd.
APA:
Meusburger, C., & Schönfeld, T. (2011). Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry. Classical and Quantum Gravity, 28(12). https://doi.org/10.1088/0264-9381/28/12/125008
MLA:
Meusburger, Cathérine, and Torsten Schönfeld. "Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry." Classical and Quantum Gravity 28.12 (2011).
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