Bremen 2017 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 12: Field Theory and Cosmology

MP 12.4: Talk

Thursday, March 16, 2017, 15:10–15:30, SFG 2010

Geodesic motion and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes — •Manuel Hohmann¹ and Christian Pfeifer^1,2,3 — ¹Physikalisches Institut, Universität Tartu, Estland — ²Institut für theoretische Physik, Universität Hannover — ³Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM), Universität Bremen

We consider the most general Finsler spacetime geometry with cosmological symmetry, i.e., six Killing vector fields for homogeneity and isotropy. Within this background, we discuss the geodesic motion of both massive test bodies and light. Using adapted coordinates on the tangent bundle, we derive the geodesic equation and a full set of constants of motion, which allow us to characterize geodesics. As an application, we derive the magnitude-redshift relation for Finsler cosmology. We apply our findings to several kinematic models of Finsler spacetimes.