Anisotropic universes with conformal motion

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.

8 pages, latex

References in corpus (3)

• LIMITS ON ANISOTROPY AND INHOMOGENEITY FROM THE COSMIC BACKGROUND RADIATION,
• The initial singularity in solutions of the Einstein-Vlasov system of Bianchi type I
• Quadrupole anisotropy from photon quantum effects

Cited by in corpus (13)

• Charged gravastars admitting conformal motion
• Noncommutative geometry inspired wormholes with conformal motion
• Two diverse models of embedding class one
• Symmetries of Bianchi I space-times
• Exact solutions of Bianchi I spacetimes which admit Conformal Killing vectors
• Wormholes with a barotropic equation of state admitting a one-parameter group of conformal motions
• Hypersurface homogeneous locally rotationally symmetric spacetimes admitting conformal symmetries
• Lie symmetries for equations in conformal geometries
• Wormholes admitting conformal Killing vectors and supported by generalized Chaplygin gas
• Conformal symmetry wormholes and the null energy condition
• Ladder operators for Klein-Gordon equation with scalar curvature term
• Stable phantom-energy wormholes admitting conformal motions
• Stable wormholes on a noncommutative-geometry background admitting a one-parameter group of conformal motions