About Asymptotic continuation of Einstein equation
arXiv:1305.5412 · doi:10.13140/RG.2.2.32521.04964
Abstract
The energy density of the gravitational field is a full-fledged source of the gravitational field. This principle of Einstein was not implemented by him in the Einstein equation. Not long ago it was possible to find an energy-momentum tensor that is asymptotically equal to part of the Ricci tensor. This tensor was included in Einstein's equation. As a result, Einstein's equation was shortened. The shortened gravitational field equation was initially solved only for the g_{00} field of a point source. Here we obtain the full metric of the gravitational field of a point source using a shortened field equation. The solution is interpreted as a potential well of extreme depth with a radius approximately forty times the Schwarzschild radius.
6 pages, 3 figure