Could the Universe have an Exotic Topology?
Abstract
A recent article uncovered a surprising dynamical mechanism at work within the (vacuum) Einstein `flow' that strongly suggests that many closed 3-manifolds that do not admit a locally homogeneous and isotropic metric at all will nevertheless evolve, under Einsteinian evolution, in such a way as to be asymptotically compatible with the observed, approximate, spatial homogeneity and isotropy of the universe Moncrief:2015. Since this previous article, however, ignored the potential influence of dark-energy and its correspondent accelerated expansion upon the conclusions drawn, we analyze herein the modifications to the foregoing argument necessitated by the inclusion of a positive cosmological constant --- the simplest viable model for dark energy.
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