Abstract
Massive spin 2 theories in flat or cosmological (Λ≠0) backgrounds are subject to discontinuities as the masses tend to zero. We show and explain physically why their Newtonian limits do not inherit this behaviour. On the other hand, conventional `Newtonian cosmology', where Λ is a constant source of the potential, displays discontinuities: e.g. for any finite range, Λ can be totally removed.
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