Examination of Five Dimensional Bianchi Type-I FLRW Models

Einstein's field equations for a five dimensional Bianchi type-I cosmological model were considered. The fifth dimension was a compactified dimension inserted into our model as described by Kaluza-Klein theory. Time dependent gravitational and cosmological constants were used for this model. The five dimensional universe was modeled on the equation of state of a perfect fluid, this equation of state being p = $\rho \, \omega$ where $0 \leq \omega \leq 1$. Various forms of the cosmological constant were examined. From this a variety of solutions were obtained and the physical significance of each solution was discussed.