Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1972
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972ap%26ss..15..326d&link_type=abstract
Astrophysics and Space Science, Volume 15, Issue 2, pp.326-333
Astronomy and Astrophysics
Astrophysics
20
Scientific paper
In addition to our previous paper (Dehnen and Obregón, 1971) the exact cosmological solutions of Brans and Dicke's scalar-tensor theory allowing a power law between the gravitational constant κ and the radius of curvatureR of the universe are sought in case that — in contrast to our previous paper — the initial conditionR(t=0)=0 is avoided. There exist two different types of solutions especially for the closed space of positive curvature and for positive values of the freely available parameter ω of the scalar-tensor theory. The radius of curvature and also the gravitational constant increase at first with respect to time and decrease after reaching a maximum value, in contradiction to Dirac's hypothesis whereafter the gravitational constant should decrease with time in an expanding universe. The age of the universe following from these solutions is in accordance with the observations.
Dehnen Heinz
Obregon Octavio
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