Reduced Lagrangians and analytic solutions in Einstein-\ae ther Cosmology

Understand

We present the solution space of the field equations in the Einstein-\ae ther 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