Abstract
The propagation of light and electromagnetic-gravity field in Y n space is studied. Our aims are to obtain the equations that described gravitational field in vacuum from the principle of least action in Y n space, and derive the law of motion of free point particles in Y n ; we showed that free point particles move along geodesics of space. The geodesic in Y n are depended on metric and torsion and this situation are considered in several non-trivial examples of the geodesics in the three-dimensional space without gravitational force; as result, we obtained that even in space without gravity geodesics are depending on torsion of space.
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