Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes

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dc.creatorOhl, Thorsten
dc.creatorSchenkel, Alexander
dc.date2008-10-27
dc.date2009-01-29
dc.date.accessioned2026-07-07T12:38:48Z
dc.date.available2026-07-07T12:38:48Z
dc.descriptionAs a preparation for a mathematically consistent study of the physics of symmetric spacetimes in a noncommutative setting, we study symmetry reductions in deformed gravity. We focus on deformations that are given by a twist of a Lie algebra acting on the spacetime manifold. We derive conditions on those twists that allow a given symmetry reduction. A complete classification of admissible deformations is possible in a class of twists generated by commuting vector fields. As examples, we explicitly construct the families of vector fields that generate twists which are compatible with Friedmann-Robertson-Walker cosmologies and Schwarzschild black holes, respectively. We find nontrivial isotropic twists of FRW cosmologies and nontrivial twists that are compatible with all classical symmetries of black hole solutions.
dc.descriptionLaTeX, 20 pages, no figures, minor modifications, reference added, to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0810.4885
dc.identifierhttp://arxiv.org/abs/0810.4885
dc.identifierJHEP 0901:084,2009
dc.identifierdoi:10.1088/1126-6708/2009/01/084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218888
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSymmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
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