About Asymptotic continuation of Einstein equation

Fuente: arXiv
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Autori principali: Sanyal, Aritra, Morozov, Valery B.
Natura: Preprint
Pubblicazione: 2013
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author Sanyal, Aritra
Morozov, Valery B.
author_facet Sanyal, Aritra
Morozov, Valery B.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1305_5412
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle About Asymptotic continuation of Einstein equation
Sanyal, Aritra
Morozov, Valery B.
General Relativity and Quantum Cosmology
83A05, 83C05
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.
title About Asymptotic continuation of Einstein equation
topic General Relativity and Quantum Cosmology
83A05, 83C05
url https://arxiv.org/abs/1305.5412