Variation of the gravitational constant in cosmological models

Details Variation of the gravitational constant in cosmological models Variation of the gravitational constant in cosmological models

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....44..329o&link_type=abstract

Astronomy and Astrophysics, vol. 44, no. 2, Nov. 1975, p. 329-333.

Astronomy and Astrophysics

Astrophysics

5

Astronomical Models, Cosmic Dust, Cosmology, Gravitational Constant, Energy Distribution, Red Shift, Scalars, Tensor Analysis, Time Dependence

Scientific paper

The field equations of the scalar-tensor Brans-Dicke theory of gravitation are generalized to the case of a nonvanishing cosmological constant and applied to the dust models of the canonical Friedmann type. Numerical integrations yield the time evolution and the present values of the relevant physical parameters, and a fitting procedure is applied in order that eventually each cosmological model is parametrized conveniently, ie., by the usual deceleration and density parameters and by the coupling constant between the scalar and the tensor fields. Results are given for (1) the present fractional rate of change of the gravitational constant, (2) the age of the Universe, and (3) the evolution with redshift of the gravitational constant. As for (1), the results are within the present experimental limits by more than one order of magnitude. With regard to (2), the ages of the present models tend to be shorter than in the corresponding conventional models due to the presence of the energy density and pressure of the scalar field. With regard to (3), the numerical results show that G is substantially larger (by a factor of 2) than at present well after the recombination epoch and may hence influence the formation and evolution of bound systems.

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