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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 32, Number 2, Pages 147–166
(Mi tmf3146)
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This article is cited in 12 scientific papers (total in 12 papers)
Geometrized theories of gravitation
A. A. Logunov, V. N. Folomeshkin
Abstract:
General properties of geometrized theories of gravitation are considered. Geometrization
of the theory is performed only to the extent which is necessarily prescribed
by the experiment (the geometrization of the Lagrangian density of matter only). Im
the general case, equations of gravitational field and equations of motion of the matter
are formulated in different riemannian spaces. Covariant formulation of the energymomentum
conservation laws in arbitrary geometrized theory is given. In this formulation
of conservation laws, introduction of the noncovariant notion of “pseudotensor”
is not required. In completely geometrized theory (e.g., in the Einstein theory) free
gravitational waves do not transfer any energy. But if, by the analogy with other physical
fields, we require the gravitational waves to transfer energy and momentum, the
Lagrangian of the gravitational field should not be geometrized. Properties of one of
the variants of quasilinear geometrized theory describing experimental facts are considered.
In this theory the fundamental static solution with spherical symmetry possesses the singularity only in the centre of coordinates and as a consequence, thereare
no black holes in the theory. The theory makes it possible to formulate a satisfying
model of homogeneous nonstationary Universe.
Received: 18.03.1977
Citation:
A. A. Logunov, V. N. Folomeshkin, “Geometrized theories of gravitation”, TMF, 32:2 (1977), 147–166; Theoret. and Math. Phys., 32:2 (1977), 653–666
Linking options:
https://www.mathnet.ru/eng/tmf3146 https://www.mathnet.ru/eng/tmf/v32/i2/p147
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