Abstract
We consider gravitational interaction between two spinning pointlike particles. We use a fastmotion approximation and we obtain the first-order gravitational field and motion equations. Following the method developed by Bel and Martin we get up to the first order: the accelerations, momentum, energy, and a Hamiltonian of the system. This Hamiltonian, when it is expanded in a power series ofc −1, agrees with those of earlier authors, who use different techniques.
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Ibáñez, J., Martin, J. Gravitational interaction of two spinning particles in general relativity. Gen Relat Gravit 14, 439–451 (1982). https://doi.org/10.1007/BF00756328
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DOI: https://doi.org/10.1007/BF00756328