München 2009 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 5: Klassische Allgemeine Relativitätstheorie II

GR 5.2: Talk

Tuesday, March 10, 2009, 17:05–17:25, A214

Motion of extended bodies in the theory of general relativity — •Isabell Schaffer and Claus Lämmerzahl — ZARM, Universität Bremen, Am Fallturm, D-28359 Bremen

The geodesic equation in General Relativity holds for ideal point particles only. If e.g. intrinsic angular momentum is associated with a particle, the particle must have an extension, to avoid physical inconsistency. Moreover, spin and mass quadrupole couple to the curvature of spacetime. As a consequence, the equations of motion will be modified. For the description of these extended bodies with spin the Mathisson–Papapetrou formalism can be used (MP–formalism) which we will apply on a particle in a Kerr–de Sitter background space time. The equations of the MP-formalism have to be completed by a supplementary condition. We want to apply different supplementary conditions which are mainly used in literature on a Kerr–de Sitter spacetime and discuss the different effects. The results of this analysis may be useful in the description of satellite dynamics oder binary systems of stars.