Demystifying autoparallels in alternative gravity

  title={Demystifying autoparallels in alternative gravity},
  author={Yuri N. Obukhov and Dirk Puetzfeld},
  journal={Physical Review D},
The equations of motion of test bodies in relativistic gravity are tightly linked to the conservation laws of the theory [1–3]. The explicit derivation of these equations has been intertwined with the development of approximation schemes within relativistic gravity [4–6]. As it is well known, geodesic curves arise as trajectories of structureless test bodies in Riemannian spacetimes with the metric gij as the gravitational field potential, that determines the metric-compatible Christoffel… 



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