  We analyze the structure of a recent nonlocal generalization of Einstein's
theory of gravitation by Mashhoon et al. By means of a covariant technique, we
derive an expanded version of the nonlocality tensor which constitutes the
theory. At the lowest orders of approximation, this leads to a simplification
which sheds light on the fundamental structure of the theory and may prove
useful in the search for exact solutions of nonlocal gravity.
