Inverse problems of general relativistic mechanics of test bodies and their applications to GRT

Problems of restoration of the Lorentz-type tensor force field and scalar force field V(xsup(i)) according to the given metrics of the Rieman four-dimensional space-time and the given properties of the test body motion within this space have been raised and solved. Given is a problem solution on determining gsub(ik) potentials of the gravitational field from the known tensor force field Fsub(ik)=-Fsub(ki) and from the given properties of the body motion in the required gravitational field. Functional arbitrariness has been found in the solution of the inverse problems. The examples of the application of the results obtained to the general relativity theory are presented which show new possibilities for experimental determination of physical fields from their influence on test bodies