On the description of gravitation - The general case

A mathematical description of spherically symmetric gravitational fields is generalized to describe the gravitational field in the presence of sources. A series of differential equations is formulated in order to determine the energy momentum tensor of the gravitational field. The tensor is used to find a metric of space-time in the field which corresponds to a Newtonian flat 4-metric governed by linear equations, the slow motion of test particles, and the energy-momentum tensor field.