München 2009 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Nichtkommutative Geometrie

MP 11.4: Vortrag

Donnerstag, 12. März 2009, 15:00–15:20, M010

Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes — •Alexander Schenkel and Thorsten Ohl — Lehrstuhl für Theoretische Physik II, Universität Würzburg, 97074 Würzburg, Deutschland

Noncommutative Riemannian geometry is an attractive mathematical tool for constructing modifications of Einsteins theory of general relativity. One particular approach is to deform the symmetries of gravity, i.e. the diffeomorphisms, into a noncocommutative Hopf algebra and establish a gravity theory based on these deformed symmetries. Having such a deformed theory, it is of great importance to understand symmetry reduction in this framework in order to apply it to physical problems, like e.g. cosmology or black holes.

In this presentation we will focus on twisted noncommutative gravity theories constructed by abelian twists and discuss symmetry reduction in these models. We will apply the formalism to FRW cosmology and black holes and classify all possible models for this particular class of twists. As one result we obtain isotropic twists for FRW universes and twists of black holes, which are invariant under all classical black hole symmetries.