Eur. Phys. J. C (2020) 80: 239
https://doi.org/10.1140/epjc/s10052-020-7802-4

Regular Article - Theoretical Physics

Exact solutions of Einstein-æther gravity in Bianchi type V cosmology

¹ Nuclear and Particle Physics Section, Physics Department, University of Athens, 15771, Athens, Greece
² Institute of Systems Science, Durban University of Technology, POB 1334, Durban, 4000, South Africa
³ Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, 5090000, Valdivia, Chile

^* e-mail: tchris@phys.uoa.gr

Received: 10 November 2019
Accepted: 3 March 2020
Published online: 13 March 2020

Abstract

We present the solution space of the field equations in the Einstein-æther theory for the case of a vacuum Bianchi Type V space-time. We also find that there are portions of the initial parameters space for which no solution is admitted by the reduced equations. Whenever solutions do exist, their physical interpretation is examined through the behavior of Ricci and/or Kretsmann scalar, as well as with the identification of the effective energy momentum tensor in terms of a perfect fluid. There are cases in which no singularities appear and others where the effective fluid is isotropic.