Distance-Redshift Relations in an Anisotropic Cosmological Model

In this paper we study an anisotropic model generated from a Bianchi III metric, generalization of Gödel's metric, which is an exact solution of Einstein's field equations. In particular, we analyse supernova Ia data, namely the SDSS sample calibrated with the MLCS2k2 fitter, verifying in which limits of distances and redshifts the anisotropy of the model could be observed, and in which limits the model approaches the Λ CDM model. We found that redshifts above z = 2 has a particular importance in setting the point at which the anisotropy would be noticed, as well as the point at which the present model begins to diverge from the Λ CDM. We conclude that data above this limit, as well as an increasing accuracy in measuring these distances, might indicate the existence of such an anisotropy in the universe.