Gauge fixing in (2+1)-gravity with vanishing cosmological constant

Meusburger C, Schönfeld T (2011)

Publication Status: Published

Publication Type: Conference contribution, Conference Contribution

Publication year: 2011

Conference Proceedings Title: Proceedings of the Corfu Summer Institute 2011

Event location: Corfu GR

URI: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84883511228&origin=inward

Abstract

We apply Dirac's gauge fixing procedure to (2+1)-gravity with vanishing cosmological constant. For general gauge fixing conditions based on two point particles, this yields explicit expressions for the Dirac bracket. We explain how gauge-fixing is related to the introduction of an observer into the theory and show that the Dirac bracket is determined by a classical dynamical r-matrix. Its two dynamical variables correspond to the mass and spin of a cone that describes the residual degrees of freedom of the spacetime. We show that different gauge fixing conditions and different choices of observers are related by dynamical Poincaré transformations. This allows us to locally classify all Dirac brackets resulting from the gauge fixing and to relate them to a set of particularly simple solutions that associated with the centre-of-mass frame of the spacetime.

Authors with CRIS profile

Cathérine Meusburger Professur für Mathematik (Darstellungstheorie und Mathematische Physik) Torsten Schönfeld Professur für Mathematik (Darstellungstheorie und Mathematische Physik)

How to cite

APA:

Meusburger, C., & Schönfeld, T. (2011). Gauge fixing in (2+1)-gravity with vanishing cosmological constant. In Proceedings of the Corfu Summer Institute 2011. Corfu, GR.

MLA:

Meusburger, Cathérine, and Torsten Schönfeld. "Gauge fixing in (2+1)-gravity with vanishing cosmological constant." Proceedings of the Workshop on Noncommutative Field Theory and Gravity, Corfu 2011.

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