Abstract
Einstein and Rosen1 have admitted that the geodesic postulate is an extraneous one and that the field-equations of gravitation must give both matter and motion independently of such a postulate. It has not been rigorously proved yet that the geodesic postulate is implicit in the field-equations2. A new boundary condition is stated here, couched in invariant terms; it is found to be satisfied by the Schwarzschild solution, and the content of the geodesic postulate that a test-particle describes a geodesic is shown to be implied by this condition. No extraneous postulate is necessary to account for the motion if the new boundary condition is accepted.
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NARLIKAR, V. A New Boundary Condition and the Geodesic Postulate. Nature 141, 906 (1938). https://doi.org/10.1038/141906a0
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DOI: https://doi.org/10.1038/141906a0
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