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Demystifying autoparallels in alternative gravity

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arxiv 2105.08428 v2 pith:R7GOBVC2 submitted 2021-05-18 gr-qc

Yuri N. Obukhov , Dirk Puetzfeld This is my paper · ORCID
classification gr-qc
keywords autoparallelsalternativebodiescurvesgravitytestalongargue
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Autoparallel curves along with geodesic curves can arise as trajectories of physical test bodies. We explicitly derive autoparallels as effective post-Riemannian geometric constructs, and at the same time we argue \emph{against} postulating autoparallels as fundamental equations of motion for test bodies in alternative gravity theories.

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  1. `Translation invariant' black hole: autoparallels and complete integrability

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Autoparallel motion in a class of torsionful Schwarzschild spacetimes is completely integrable via four conserved quantities, and positive-energy autoparallels are repelled by the black hole.

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