Mathematics – Logic
Scientific paper
May 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvd..19.2861m&link_type=abstract
Physical Review D (Particles and Fields), Volume 19, Issue 10, 15 May 1979, pp.2861-2867
Mathematics
Logic
8
Scientific paper
The perturbation by a spherical rotating shell is investigated in a closed homogeneous and isotropic cosmological model of the Brans-Dicke theory to first order in an angular velocity of the shell. This model has a negative coupling parameter of the scalar field and satisfies the relation G(t)Mc2a(t)=π. The inertial frame at the origin is dragged completely with the same angular velocity when the rotating shell covers the whole universe. By a similar perturbation method, the distance dependence of the contribution from matter to the scalar field at the origin is obtained in this model. The contribution from nearby matter is negative because of the negative coupling constant, but the contribution from the whole universe is positive. The gravitational "constant" is almost determined by matter in the distant region.
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