The energy of the gravitational field, the problem of a homogeneous field and the uniqueness of solutions of the Einstein equation

An exact metric of a homogeneously accelerated system and a homogeneous gravitational field is obtained. The energy-momentum tensor of such a field is found. From the homogeneity condition of the field at infinity, stationary solutions are found for a field with spherical symmetry, and the Schwarzschild solution is an approximation of one of the two solutions