Brans-Dicke Cosmologies in Arbitrary Units: Solutions in Flat Friedmann Universes

Details Brans-Dicke Cosmologies in Arbitrary Units: Solutions in Flat Friedmann Universes Brans-Dicke Cosmologies in Arbitrary Units: Solutions in Flat Friedmann Universes

Jul 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971phrvd...4..278m&link_type=abstract

Physical Review D, vol. 4, Issue 2, pp. 278-282

Physics

21

Scientific paper

Assuming a Robertson-Walker metric and an equation of state p=ɛρ (0<=ɛ<=1), the Brans-Dicke (BD) field equations are found to yield a first integral of the form a3(1+ɛ)λ12(1-3ɛ)(1- α)=const, where α is the parameter denoting the particular units in which the field equations are expressed. This first integral is employed in the remaining field equations to yield polynomial solutions for a, ρ, and λ. For ɛ=0,13, these solutions properly reduce to previously obtained pressure-free and radiation-filled universes, respectively.

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