Riemannian and non-Riemannian extensions of geometrodynamics versus Einsteinian gravity

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We analyze some extensions of General Relativity. Within the framework of modified gravity, the Newtonian limit of a class of gravitational actions is discussed on the basis of the corresponding scalar-tensor model. For a generalized asymmetric metric, autoparallel trajectories are defined under suitable conditions at first approximation order.
10 pages, to appear in proceedings of ''10th Italian-Korean Symposium on Relativistic Atrophysics'', J. Korean Phys. Soc., Special Edition

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