An anisotropic cosmological model with isotropic background radiation
  We present an exact solution of Einstein equations that describes a Bianchi type III spacetime with conformal expansion. The matter content is given by an anisotropic scalar field and two perfect fluids representing dust and isotropic radiation. Based on this solution, we construct a cosmological model that respects the evolution of the scale factor predicted in standard cosmology. 
Saulo Carneiro and Guillermo A. Mena Marugan