Kinematic parameters and Raychaudhuri equation in theKantowski-Sachs model

In this work we present a review of the calculations of homogeneous and anisotropic cosmological models, particularly the Kantowski-Sachs cosmological model. As an innovative contribution, we calculate an exact solution to the field equations with a general expression for the material content of the Universe. We obtain the expressions for energy density in this general case. We also study the case involving a scalar field. We investigate the evolution dynamics of the model, encompassing the Hubble, density, and deceleration parameters. We calculate the kinematic parameters associated with the model, namely: the scalar expansion Θ, the shear scalar σ , the rotation parameter ω and the parameter R α β U α U β , also known as Raychaudhuri scalar or convergence condition, all these parameters expressed in the Raychaudhuri equation.