Reduced Lagrangians and analytic solutions in Einstein-æther Cosmology
arXiv:1811.10291 · doi:10.1140/epjc/s10052-019-6868-3
Abstract
We present the solution space of the field equations in the Einstein-æther theory for the case of a $FLRW$ and a LRS Bianchi Type $III$ space-time. We also find that there are portions of the initial parameters space for which no solution is admitted by the reduced equations. The reduced Lagrangians deduced from the full action are, in general, correctly describing the dynamics whenever solutions do exist
11 pages, Latex2e source file, no figures