Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ap%26ss.167..271g&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 167, no. 2, May 1990, p. 271-280.
Astronomy and Astrophysics
Astrophysics
15
Celestial Bodies, Gravitational Constant, Gravitational Fields, Relativistic Theory, Dirac Equation, Flux Density, Newton Theory, Variability
Scientific paper
A theory with variable gravitational constant is presented, which is based on the bimetric formulation of general relativity, and which is in agreement with Newtonian and post-Newtonian approximations of the theory of gravitation for the parameter absolute value of zeta much greater than 4 x 10 to the -6th. It is shown that the total action S = -M (tau), where tau is the time in the remote system of reference, relative to which the celestial body is in rest. This equation is in agreement with the Brans-Dicke theory. The Tolman formula, in the framework of GR, is also true for the bimetric theory with the variable gravitational constant. External analytical and internal numerical solutions of the field equations are found for the case of incompressible matter. It is also shown that generalized bimetric theory of gravitation does not exclude the possibility of existence of static, supermassive, and superdense configurations.
Grigorian Sh. L.
Sakharian A. A.
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