Kinematics of an Ideal Fluid into a Spatially Flat Anisotropic Axisymmetric Universe

Abstract

The Standard Cosmological Model assumes that the Universe is, on average, homogeneous and isotropic for large scales (z>1), but this principle has been questioned from the results about Cosmic Microwave Background. This radiation has anomalies that are not explained from the Standard Model, such as temperature fluctuations in the order of 10-5K or aligning polar moments. These anomalies could be explained by anisotropic cosmological models. We propose a transformation to spherical coordinates considering different temporal scale factors in the Cartesian axes, from which a reducible to flat spatial Friedmann-Lemaitre-Robertson-Walker metric is obtained. In the model, we consider the axisymmetric case and analyze the cinematic behavior of an ideal fluid at rest.