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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 16: Gravitation

MP 16.1: Talk

Thursday, March 19, 2015, 11:20–11:40, HFT-FT 101

Spacetime symmetries in the language of Cartan geometry — •Manuel Hohmann — Institut für Physik, Universität Tartu, Estland

I discuss how apparently different geometrical descriptions of spacetime geometry - in particular, affine geometry, metric geometry and Finsler geometry - can commonly be reformulated in terms of Cartan geometry. In the main part of my talk I show how this common Cartan geometric description can be used to formulate spacetime symmetries under the action of continuous diffeomorphism groups, represented by Killing-like vector fields. As an illustrative example I discuss the case of axial, spherical and cosmological symmetry. These calculations can be applied in the construction of symmetric solutions of gravity theories based on these different geometric descriptions.