MULTIDIMENSIONAL COSMOLOGY WITH M-COMPONENT PERFECT FLUID

A cosmological model describing the evolution of n Einstein spaces (n > 1) with m-component perfect-fluid matter is considered. When all. sp aces are Ricci-flat and for any alpha-th component the pressures in al l spaces are proportional to the density: p(i)((alpha)) = (1 - h(i)((a lpha))P-(alpha) h(i)((alpha)) = const., the Einstein and Wheeler-DeWit t equations are integrated in the cases: (i) m = 1, for all h(i)((alph a)); (ii) m > 1, for some special sets of h(i)((alpha)). For m = 1 the quantum wormhole solutions are also obtained.