Constraints on backreaction in dust universes

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We study backreaction in dust universes using exact equations which do not rely on perturbation theory, concentrating on theoretical and observational constraints. In particular, we discuss the recent suggestion (in hep-th/0503117) that superhorizon perturbations could explain present-day accelerated expansion as a useful example which can be ruled out. We note that a backreaction explanation of late-time acceleration will have to involve spatial curvature and subhorizon perturbations.
15 pages, 1 figure. v2: The numbers in observational constraints corrected (no qualitative change), added discussion and references. v3: More references, clearer presentation, a new section on theoretical bounds. Conclusions stronger. v4: Published version. No major changes

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