NEW COSMOLOGICAL SOLUTIONS WITH Ads³x S¹x S³x S³ COMPACTIFICATION OF SUPERSTRING

We analysed d=10, 0(32) superstring theory with a cosmological constant for possible Kaluza-Klein cosmologies. In the former case (scalar field Ф=constant) we find an oscillating (2+l)-dimensional antide Sitter universe with a constant value for all fields on the internal dimensions, which are S¹x S³x S³. In the latter case, it is not possible to get. a power law form solutions. In the oscillating solutions the induced cosmological constant is less than 10^-120M_p^-4 calculated according to supergravity theories.