A BIANCHI TYPE-V COSMOLOGICAL MODEL WITH SPIN MATTER

Analytic solutions of a particular anisotropic Bianchi type-V cosmolog ical model with spin matter have been found. In the radiation epoch, w hen the spin energy is larger than the anisotropic energy (i.e. S-2 - sigma(2) > 0), the initial singularity can be avoided. We have incorpo rated the Guth inflationary Universe model into the Einstein-Cartan th eory of gravitation which is useful for studying cosmological models w ith some kind of anisotropy. The inflationary solutions depend on the value of S-2 - sigma(2). When S-2 - sigma(2) < - rho/2, the Universe d oes not have an inflationary phase. The implications of these solution s will be discussed in the text. This anisotropic model can also evolv e to an isotropic one.