Inflation with Variable Ω

We propose a simple version of chaotic inflation which leads to a division of the universe into infinitely many open universes with all possible values of Ω from 1 to 0. 1 E-mail: [email protected] Flatness of the universe (Ω = 1) for a long time has been considered as one of the most definite predictions of the inflationary theory. However, what will happen if ten years from now it will be shown beyond any reasonable doubt that our universe is open or closed? Would it mean that inflationary theory is wrong? Apparently, many experts do not think so. So far we do not have any alternative solution to the homogeneity, isotropy, horizon and monopole problems. Inflationary theory provides a natural mechanism for generation of perturbations necessary for galaxy formation. It would be much better to modify this scenario so as to produce Ω 6= 1 instead of simply giving up and living without any consistent cosmological theory at all. Indeed, it is possible to have Ω 6= 1 in inflationary cosmology. It is especially simple in the case of a closed universe, Ω > 1. For example one can consider a particular version of the chaotic inflation scenario [1] with the effective potential V (φ) = mφ 2 exp ( φ