Exact solutions of Einstein-aether gravity in Bianchi Type V Cosmology

TL;DR

This paper derives exact vacuum solutions for Einstein-aether gravity in Bianchi Type V cosmology, analyzing their physical properties and singularity behavior.

Contribution

It provides the first comprehensive solution space for Einstein-aether theory in Bianchi Type V space-times, including conditions for existence and physical interpretation.

Findings

Solutions exist only for certain initial parameters.

Some solutions are free of singularities.

Effective fluids can be isotropic in some cases.

Abstract

We present the solution space of the field equations in the Einstein-aether 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.