INHOMOGENEOUS PERFECT FLUID COSMOLOGIES IN (4+1) DIMENSIONS

Exact solutions are obtained in (4+1) dimensions for plane symmetric a nd cylindrically symmetric inhomogeneous spacetimes. In the former cas e the three space depends on time only while the metric corresponding to the extra dimension is dependent on space as well as time coordinat es. The cylindrically symmetric nonstatic solutions for the perfect fl uid have no singularity near the axis, but show big bang type of singu larity in the finite past. One of the classes of such solutions satisf ies the barotropic equation of state of the form rho = epsilon p. Stat ic solutions with cylindrically symmetric solutions are also obtained in 5 dimensions.