Abstract:
Equations for a massive gravitational field are found in the framework of the special theory of relativity on the geometrization principle. The existence of a graviton mass has fundamental significance for the construction of the theory. In accordance with this theory of gravitation, a homogeneous and isotropic universe evolves cyclically from a high density to a minimum density, etc., and can only be “flat”. The theory predicts the existence of an appreciable amount of “dark” matter in the universe. The existence of “black holes” in the universe is completely ruled out. The theory explains all known observational facts in the solar system.
Citation:
A. A. Logunov, “Theory of the classical gravitational field and Mach's principle”, TMF, 101:1 (1994), 3–27; Theoret. and Math. Phys., 101:1 (1994), 1159–1176
\Bibitem{Log94}
\by A.~A.~Logunov
\paper Theory of the classical gravitational field and Mach's principle
\jour TMF
\yr 1994
\vol 101
\issue 1
\pages 3--27
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\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 1
\pages 1159--1176
\crossref{https://doi.org/10.1007/BF01079252}
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Linking options:
https://www.mathnet.ru/eng/tmf1664
https://www.mathnet.ru/eng/tmf/v101/i1/p3
This publication is cited in the following 6 articles:
Yu-Jie Chen, Yuan-Yuan Liu, Yu-Zhu Chen, Wen-Du Li, Wu-Sheng Dai, “Mach's principle-based model of the origin of mass”, Class. Quantum Grav., 41:6 (2024), 065018
V. N. Tunyak, “Relativistic theory of gravity and a torsion field”, Theoret. and Math. Phys., 118:1 (1999), 101–106
I. P. Denisova, “A laser-source model of the gravitational field”, Theoret. and Math. Phys., 116:3 (1998), 1108–1112
A. A. Logunov, M. A. Mestvirishvili, “The stress-energy tensor of matter as a gravitational field source”, Theoret. and Math. Phys., 110:1 (1997), 2–17
V. N. Tunyak, “Relativistic theory of gravity and Brans–Dicke scalar field”, Theoret. and Math. Phys., 106:2 (1996), 269–275
Yu. M. Loskutov, “Positive definiteness of the gravitational radiation intensity in the theory of gravity with nonzero graviton mass”, Theoret. and Math. Phys., 107:2 (1996), 686–697