Reconstruction of a gravitational field from partial trajectories given by the direction field in a three-dimensional Fock space

A general solution of the inverse problem of relativistic dynamics consisting in search for static space-time metrics from the known partial trajectories of test bodies and photons is given in the paper. Such trajectories under the conditions of the problem should be integral curves to which tangent line direction in each point coincides with the direction of the given three-dimensional ''a'' vector field. This field is determined in the 3-dimensional Fock space, which, as it is known in the limiting case of weak fields and harmonic coordinates is euclidean