Brans-Dicke Cosmology, II

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

We discuss the implications of the Brans-Dicke scalar-tensor theory for cosmology with particular emphasis on the primordial element abundances that would obtain. Two general classes of models are found. Models of one class expand through the nuclear burning stage slightly more rapidly than the general relativistic case: models of the other class may expand at any rate whatsoever. The first class of models yeilds primordial abundances of D, He3 and He4 in agreement with their general relativistic values if the present mass density is low. High-density cosmologies, however, would produce too much He4. The second class of models yields element abundances which are far too high unless the expansion rate was quite large: in this case no He4 at all is produced. Finally, we determine the rate of change of the constant of gravitationG at the present epoch. For all but a very small class of models Ġ is negative at the present epoch. Models with positive values of Ġ at the present epoch produce no primordial He4 whatsoever, and have ages significantly lower than the corresponding general relativistic ages.

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