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Demystifying autoparallels in alternative gravity

Published 18 May 2021 in gr-qc | (2105.08428v2)

Abstract: 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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