Viscous Cosmologies with Extra Dimensions

We present an analysis of a n-dimensional vacuum Einstein field equations in which 4-dimensional space-time with is described by a Friedmann Robertson-Walker (FRW) metric and that of the extra dimensions by a Kasner type Euclidean metric. The field equations are interpreted as four dimensional Einstein equations with effective matter properties. We obtain solutions for the cases when the effective matter is described by imperfect fluid. We consider the theories of imperfect fluid given by Eckart, truncated Israel-Stewart and full Israel-Stewart theories and obtain cosmological solutions for a flat model of the universe. PACS numbers : 04.20 Jb, 98.80 H ∗Electronic mail : [email protected]