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GR: Fachverband Gravitation und Relativitätstheorie

GR 6: Quantum Gravity and Quantum Cosmology

GR 6.3: Talk

Tuesday, March 17, 2015, 14:40–15:00, H 2013

Symmetry reductions in loop quantum gravity based on classical gauge fixings — •Norbert Bodendorfer, Jerzy Lewandowski, and Jedrzej Swiezewski — University of Warsaw, Poland

We discuss a new strategy to perform a symmetry reduction in loop quantum gravity based on classically gauge fixing the spatial diffeomorphism constraint. Symmetry reductions can then be performed by demanding the vanishing of certain classical phase space functions, which translates into implementing (some part of) spatial diffeomorphism invariance on the reduced phase space, thus solving the spatial diffeomorphism constraint "twice". We illustrate how this process works for reductions to spherical symmetry and Bianchi I cosmological models.