Nature of the Singularity in Some Brans-Dicke Universes

Details Nature of the Singularity in Some Brans-Dicke Universes Nature of the Singularity in Some Brans-Dicke Universes

May 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975pthph..53.1360r&link_type=abstract

Progress of Theoretical Physics, Vol. 53, No. 5, pp. 1360-1364

Physics

11

Scientific paper

In the background of somewhat conflicting results about the possibility of nonsingular cosmological solutions of the Brans-Dicke equations, this article investigates some explicit solutions of these equations. It is found that, in the solutions presented, the material energy densit never becomes infinite--either the spatial volume collapses or the gravitational `constant' shows singular behaviour according as one adopts one or the other of the two units discussed by Dicke. While such situations are obtained with the equation of state p=ɛ ρ (ɛ=a constant ≠ 1/3), the constant ω in Brans-Dicke equations has to be given a negative value contrary to observational requirement.

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