Inertial Induction in an Open Universe

Abstract

Integration of Einstein's inertial-mass induction to the particle horizon in Robertson-Walker space yields an equation for the scale factor of the universe. A generalized Milne-McCrea theorem is used, and $G$ is allowed to vary slowly in order to preserve the weak equivalence principle. Among the results given is that at the present time $\frac{d\left(\frac{G}{G_0}\right)}{\mathrm{dt}}=-0.22\mathrm{}{H}_0$ for $q_0=0.03\mathrm{}$. The age is somewhat less than for Friedman models. These results differ minimally from general relativity.