Anisotropic homogeneous universes in the varying speed of light theory

The evolution and dynamics of Bianchi type I and V Universes is considered in the framework of the varying speed of light theory. Einstein's field equ ations with a variable speed of light c = c(t), gravitational coupling G = G(t) and decaying vacuum energy density Lambda = Lambda(t) are considered a s describing matter creation in a cosmological framework. The particle crea tion rate is uniquely determined by the variation rates of c, and G and Lam bda. By considering simple phenomenological evolution laws for the "constan ts," exact analytical and numerical solutions of the gravitational field eq uations are obtained, leading to a self-consistent cosmological model descr ibing matter and entropy generation in anisotropic Universes. In the limit of large times the mean anisotropy tends to zero, thus the time variation o f the fundamental constants providing an effective mechanism for the isotro pization of the Universe.