Physics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ijtp...26..901s&link_type=abstract
International Journal of Theoretical Physics, Volume 26, Issue 9, pp.901-906
Physics
3
Scientific paper
Considering a Robertson-Walker line element, exact solutions are obtained for radiation-filled cosmological differential equations of Brans-Dicke theory with the assumption that the radius of curvature Q of the universe varies directly as the nth power of time. The solution is found to be valid for closed space only and the coupling constant w of the scalar tensor theory is necessarily negative. The radius of curvature of increases linearly with respect to the age of the universe, while the gravitational constant k varies directly as the square of the radius of the universe. The solution obtained is in contradiction to Dirac's hypothesis, in which the gravitational constant should decrease with time in an expanding universe.
Deo Shridhar
Singh Romen T.
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