Summary
It has been suggested that re-expressing relativity in terms of forces could provide fresh insights. The formalism developed for this purpose only applied to static, or conformally static, space-times. Here we extend it to arbitrary space-times. It is hoped that this formalism may lead to a workable definition of mass and energy in relativity.
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Qadir, A., Sharif, M. The relativistic generalization of the gravitational force for arbitrary space-times. Nuov Cim B 107, 1071–1083 (1992). https://doi.org/10.1007/BF02727045
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DOI: https://doi.org/10.1007/BF02727045