WKB-TYPE APPROXIMATION TO NONCOMMUTATIVE QUANTUM COSMOLOGY

In this paper, we develop and apply the WKB-type approximation to several examples of noncommutative quantum cosmology, obtaining the time evolution of the noncommutative universe. This is accomplished by starting from a noncommutative quantum formulation of cosmology, where the noncommutativity is introduced by a deformation on the minisuperspace variables. This procedure gives a straightforward algorithm to incorporate noncommutativity into cosmology and inflation.