Gravitational interaction of two spinning particles in general relativity

Gravitational interaction between two spinning pointlike particles is considered. A fast-motion approximation is used and the first-order gravitational field and motion equations are obtained. Following the method developed by Bel and Martin the accelerations, momentum, energy, and a Hamiltonian of the system are obtained up to the first order. This Hamiltonian, when it is expanded in a power series of c-1, agrees with those of earlier authors, who use different techniques. (author)