Cosmological Implications of Nonlocal Gravity
  We present extensions of the treatment contained in our recent paper on
nonlocal Newtonian cosmology [C. Chicone and B. Mashhoon, J. Math. Phys. 57,
072501 (2016)]. That is, the implications of the recent nonlocal generalization
of Einstein's theory of gravitation are further investigated within the regime
of Newtonian cosmology. In particular, we treat the nonlocal problem of
structure formation for a spherically symmetric expanding dust model and show
numerically that as the central density contrast grows, it tends to decrease
slowly with radial distance as the universe expands. The nonlocal violation of
Newton's shell theorem provides a physical interpretation of our numerical
results.
