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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 textit{at all} will nevertheless evolve, under Einsteinian evolution, in such a way as to be textit{asymptotically} compatible with the observed, approximate, spatial homogeneity and isotropy of the universe cite{Moncrief:2015}. Since this previous article, however, ignored the potential influence of textit{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 textit{positive} cosmological constant --- the simplest viable model for dark energy.
We construct the gravitating mass of an isolated composite system on asymptotically-flat spacetimes within conventional general relativity and investigate when this quantity is well defined. For stationary spacetimes, this quantity is known to exactl
The presence of the ancient valley networks on Mars indicates that the climate at 3.8 Ga was warm enough to allow substantial liquid water to flow on the martian surface for extended periods of time. However, the mechanism for producing this warming
An oscillating, compact Friedmann universe with a massive conformally coupled scalar field is studied in the framework of quantum cosmology. The scalar field is treated as a perturbation and we look for solutions of the Wheeler-DeWitt equation descri
We extend our analysis for scalar fields in a Robertson-Walker metric to the electromagnetic field and Dirac fields by the method of invariants. The issue of the relation between conformal properties and particle production is re-examined and it is v
We study the tensorial modes of the two-fluid model, where one of this fluids has an equation of state $p = - rho/3$ (variable cosmological constant, cosmic string fluid, texture) or $p = - rho$ (cosmological constant), while the other fluid is an or