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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1991 Volume 87, Number 1, Pages 130–140 (Mi tmf5476)

This article is cited in 3 papers

Strong centrally symmetric vacuum field in the relativistic theory of gravitation

A. V. Genk


Abstract: An exact static solution of the equations of the relativistic theory of gravitation in vacuum for the case of spherical symmetry that generalizes Fock's harmonic interval is considered. The condition that the field be physical is used to find the region of applicability of this solution. The radial motion of test particles in the generalized harmonic metric is considered. It is shown that the picture of the motion of the particles for a distant observer differs fundamentally from the one usually adopted (in Fock's metric) and does not correspond to the picture of asymptotic slowing down of the collapsing body. The energy density of the gravitational field in this case is calculated.

Received: 01.03.1990


 English version:
Theoretical and Mathematical Physics, 1991, 87:1, 424–432

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