About Asymptotic continuation of Einstein equation
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.
Cite
@article{arxiv.1305.5412,
title = {About Asymptotic continuation of Einstein equation},
author = {Aritra Sanyal and Valery B. Morozov},
journal= {arXiv preprint arXiv:1305.5412},
year = {2024}
}
Comments
6 pages, 3 figure