Summary
An effective potential in special relativity gives the Hamiltonian motion of test bodies. From this remark, we discuss the possibility of formulating direct gravitational interactions between two or more particles in Minkowski space.
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Droz-Vincent, P. Effective potential for gravity in flat space-time. Lett. Nuovo Cimento 37, 165–168 (1983). https://doi.org/10.1007/BF02752248
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DOI: https://doi.org/10.1007/BF02752248