https://doi.org/10.1140/epjc/s10052-019-6868-3
Regular Article - Theoretical Physics
Reduced Lagrangians and analytic solutions in Einstein-æther cosmology
1
Nuclear and Particle Physics Section, Physics Department, University of Athens, 15771, Athens, Greece
2
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
3
Institute of Systems Science, Durban University of Technology, POB 1334, Durban, 4000, South Africa
* e-mail: tchris@phys.uoa.gr
Received:
26
November
2018
Accepted:
8
April
2019
Published online:
19
April
2019
We present the solution space of the field equations in the Einstein-æther theory for the case of a FLRW and a locally rotationally symmetric (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. Finally in the FLRW case a curvature singularity exists, while in the type III there are choices of the range of parametres for which there is no curvature singularity.
© The Author(s), 2019
