The cosmic multipoles: a consistency test for the Szekeres cosmological model

Some of the properties of the Szekeres solutions which have never been used in a cosmological context are known for long. In this letter, the total and unique decomposition of its matter energy density into a monopole and dipole moment is recalled and specialized to the axially symmetric quasi-spherical subclass of the model. All the model special features – axial symmetry, spherical quasi-symmetry, location of the observer – are observationally justified. Then, a consistency test of the model involving its no-high-multipole-in-mass-density property is proposed.