The nonlinear patterns of the cosmic anisotropy in the late time universe

Abstract: In this manuscript, we investigate the patterns satisfied by the cosmological anisotropy under the hypothesis of the observers being co-moving with a perfect fluid whose induced space sections are homogeneous with vanishing scalar curvature. We describe the positive increment $\Delta R$ that the Hubble parameter in the anisotropic model will have as it is compared to its isotropic counterpart. In general, it has an exponential awakening at a specific redshift $z_A$. We also show that the deceleration and the jerk along the principal directions of the anisotropy are constrained by simple algebraic equations that do not depend on the type of matter present. These characteristic patterns form a valuable framework to distinguish the cosmological anisotropy from any other kind, thus adding a useful tool to probe its upper limits in the supernovae surveys, which are orders of magnitude away from those observed in the CMB.