In his book "Electrodynamics" Einstein gave an example of Lenz. Lenz obtained the Schwarzschild metric using the Lorentz transformations.
How far are the possibilities of such methods?
For example, I used the semiclassical method to get the gravitational field of a point source from Einstein's principle that the energy of the gravitational field is the source of the gravitational field. Preprint Energy-momentum tensor of gravitational field and approximat...