The change of the Universe epochs within the scope of Bianchi type-V model

© 2019, Indian Association for the Cultivation of Science. We investigate the Bianchi type-V cosmological model with dark matter and anisotropic dark energy. It is assumed that the two sources minimally interact, so their energy-momentum tensors are conserved separately. The proportionality condition that relates the shear scalar (σ) with the expansion scalar (θ) and the assumption of a diagonal energy–momentum tensor lead to some restriction on the metric functions. A special law is introduced for skewness parameter that describes the deviation of pressure from isotropy. This law can lead to models: the little rip, the big rip and the hybrid expansion. The hybrid expansion law provides a description of the transition of the Universe from deceleration to acceleration. The Universe behavior is discussed depending on the numerical parameters of the models