Some general theorems in Brans-Dicke and Hoyle-Narlikar cosmologies

Details Some general theorems in Brans-Dicke and Hoyle-Narlikar cosmologies Some general theorems in Brans-Dicke and Hoyle-Narlikar cosmologies

Feb 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd...9..877b&link_type=abstract

Physical Review D, vol. 9, Issue 4, pp. 877-882

Mathematics

Logic

6

Scientific paper

Raychaudhuri-type equations are written for cosmological models filled with a perfect fluid and obeying the Brans-Dicke and Hoyle-Narlikar field equations. In addition, the following three theorems are proved: (1) The only possible spatially-homogeneous stationary models of the universe of perfect fluid obeying the Brans-Dicke theory are the radiation-filled and the perfectly empty universe. (2) If the creation is absent in the C-field theory of Hoyle and Narlikar, the existence of the slightest pressure will prevent an expansion or a contraction. (3) A spatially homogeneous rotating universe filled with incoherent dust and having a shear-free expansion is ruled out by C-field cosmology (of Hoyle and Narlikar) without creation.

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