Anisotropic cosmology with vector field in the Noether approach

Abstract

In this Letter, based on Bianchi-I type cosmological model, we have studied the evolution of universe in terms of a vector field coupled to the scalar field. The symmetries of the system are calculated in the Noether approach, the scalar potential and the gauge kinetic function are also obtained following these symmetries. The dynamical equations are integrated numerically and the behaviors of cosmological evolution are presented certainly. Furthermore, the early-time and late-time scenarios are also reached asymptotically, that is, the universe is during the period of decelerating expansion in the early time while during the period of accelerating expansion in the late time. Moreover, we have also studied the expansion isotropization of the universe during evolution. There is no Kasner solution in the present case, while the universe would approach an isotropic Robertson-Walker one, concretely, a de Sitter type one in the late time.