Anisotropic universes with conformal motion

TL;DR

This paper finds new exact solutions to Einstein's equations in anisotropic Bianchi I universes that admit conformal motions, showing some models evolve towards isotropy at late times.

Contribution

It introduces a class of axisymmetric metrics with conformal symmetry, expanding the set of known solutions in anisotropic cosmologies.

Findings

New exact solutions of Einstein's equations with conformal motion

Models that isotropize at late times

Extension of Bianchi I solutions with conformal symmetry

Abstract

By imposing natural geometrical and kinematical conditions on a conformal Killing vector in Bianchi I spacetime, we show that a class of axisymmetric metrics admits a conformal motion. This class contains new exact solutions of Einstein's equations, including anisotropic radiation universes that isotropise at late times.