Physics
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..56..335o&link_type=abstract
Astrophysics and Space Science, vol. 56, no. 2, July 1978, p. 335-339.
Physics
11
Cosmology, Gravitational Constant, Radiation Distribution, Curvature, Field Theory (Physics)
Scientific paper
Under the assumption of a power law (ic R~ = C, C = const.) between the gravitational constant ic and the radius of curvature Rof the Universe and for P = ~ the exact solution is sought for the cosmological equations of Brans and Dicke. The solution turns out to be valid for closed space and the parameter cv of the scalar-tensor theory is necessarily negative. The radius of curvature increases linearly with respect to the age of the Universe while the gravitational constant grows with the square of the radius of curvature. It has been shown (Lessner, 1974) that in this case (K R2) the spatial component of the field equations is independent of the remaining equations. However, our solution satisfies this independent equation. This solution for the radiation- dominated era corresponds to the solution for the matter-dominated era found by Dehnen and one of the authors (Dehnen and Obregón, 1971). Our solution, as is the solution previously obtained for the matter-dominated era, is in contradiction to Dirac's hypothesis in which the gravitational constant should decrease with time in an expanding Universe
Chauvet Pablo
Obregon Octavio
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