The gravitational equations of motion in relativity
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We derive an equation (41) for the geodesics in the field of two bodies as given by Einstein, Infeld and Hoffmann. It is shown that whenm 1=0 the equation reduces to that of the two-body problem (17) obtained without any reference to the geodesic postulate. This is the main result of the paper. Although Einstein’s new method of deriving gravitational equations of motion is based on the field equations only we show how it can be consistent with the geodesic postulate if the field tensor tends to zero in a particular manner.
KeywordsField Equation Gravitational Equation Timelike Unit Vector Spacelike Unit Vector Spacelike Unit
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