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GR: Fachverband Gravitation und Relativitätstheorie

GR 11: BH Physics II, GW IV

GR 11.1: Vortrag

Donnerstag, 3. April 2025, 14:15–14:35, ZHG007

Autoparallels around a Schwarzschild black hole with GM/r²-torsion profile — •Jens Boos — KIT, Karlsruhe, Germany

We consider the autoparallel motion of test bodies around a Schwarzschild black hole endowed with a non-trivial torsion field scaling as GM/r², where M denotes the ADM mass of the black hole. By explicitly constructing a set of four orthogonal and commuting generalized Killing vectors and deriving their autoparallel conserved quantities we demonstrate the complete integrability of the equations of motion. Additionally, we study the qualitative orbital dynamics via effective potentials. Throughout, we compare the properties of the autoparallels (straightest possible paths) to that of the geodesics (shortest possible paths) and find notable discrepancies.

Keywords: modified gravity; torsion; geodesics; autoparallels