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We show that a class of nonlocal gravity models, proposed to explain currentcosmic acceleration without dark energy, passes two major tests: First, theycan be defined so as not to alter the, observationally correct, generalrelativity predictions for gravitationally bound systems. Second, they arestable, ghost-free, with no additional excitations beyond those of generalrelativity. In this they differ from their, ghostful, localized versions. Thesystems' initial value constraints are the same as in general relativity, andour nonlocal modifications never convert the original gravitons into ghosts.

Observational Viability and Stability of Nonlocal Cosmology