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arXiv · 1305.5412

About Asymptotic continuation of Einstein equation

Aritra Sanyal·Valery B. Morozov
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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.

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Aritra Sanyal, Valery B. Morozov. 2013-05-22. About Asymptotic continuation of Einstein equation. https://doi.org/10.13140/rg.2.2.32521.04964

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