Here, we prove thatarbitrarilyinhomo-geneous and anisotropic cosmologies with “flat” (includingtoroidal) and “open” (including compacthyperbolic) spatial topology that are initially expandingmust continue to expand forever at least insome region at a rate bounded from below by a positive number,despite the presence of arbitrarilylarge density fluctuations and/or the formation of black holes
excellent talk by Matt Kleban on this in Utrecht, conclusion "There is no initial condition for inflation" in opposition to Steinhardt claims