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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 32, Number 3, Pages 291–325
(Mi tmf3159)
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This article is cited in 16 scientific papers (total in 16 papers)
The energy-momentum problem and the theory of gravitation
A. A. Logunov, V. N. Folomeshkin
Abstract:
General properties of geometrised theories of gravitation are considered. Covariant
formulation of conservation laws in arbitrary riemannian space-time is given. In the
Einstein theory the symmetric as well as canonical energy-momentum tensor of the
system “matter plus gravitational field” and, in particular, the energy-momentum of
free gravitational waves, turns out to be equal to zero. To understand the origin of the
problems and difficulties concerning the energy-momentum in the Einstein theory, the
gravitational field is considered in the usual framevork of the Lorents-invariant field
theory, just like any other physical field. Combination of the approach proposed with
the Einstein's idea of geometrisation makes it possible to formulate the geometrised
gravitation theory, in which there are no inner contradictions, the energy-momentum of
gravitational field is defined precisely and all the knowr experimental facts [17] are
described successfully. For strong gravitational fields, the predictions of the quasilinear
geometrised theory under consideration are different from those of the gravitational
theory in the Einstein formulation. Black holes are absent in the theory. Evaluation
of the energy-flux of gravitational waves leads to unambiguous results and shows that
the gravitational waves transfer the positive-definite energy.
Received: 15.04.1977
Citation:
A. A. Logunov, V. N. Folomeshkin, “The energy-momentum problem and the theory of gravitation”, TMF, 32:3 (1977), 291–325; Theoret. and Math. Phys., 32:3 (1977), 749–771
Linking options:
https://www.mathnet.ru/eng/tmf3159 https://www.mathnet.ru/eng/tmf/v32/i3/p291
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