Cosmological Vacuum Solutions in Brans and Dicke's Scalar-Tensor Theory

Details Cosmological Vacuum Solutions in Brans and Dicke's Scalar-Tensor Theory Cosmological Vacuum Solutions in Brans and Dicke's Scalar-Tensor Theory

Aug 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972ap%26ss..17..338d&link_type=abstract

Astrophysics and Space Science, Volume 17, Issue 2, pp.338-342

Astronomy and Astrophysics

Astrophysics

11

Scientific paper

The exact cosmological vacuum solutions of Brans and Dicke's scalas-tensor theory are derived when a power law is valid between the gravitational constant κ and the radius of curvature R of the universe. There exist even in the case of the closed 3-dimensional space of positive curvature solutions with increasing R and κ with respect to the age of the universe, whereby the freely available parameter ω of the scalar-tensor theory can take all values greater than -3/2. Such solutions are contrary to Dirac's hypothesis as well as to Einstein-Mach's principle.

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