Cosmic screening of the gravitational interaction
  We study a universe filled with cold dark matter in the form of discrete
inhomogeneities (e.g., galaxies) and dark energy in the form of a continuous
perfect fluid. We develop a first-order scalar perturbation theory in the weak
gravity limit around a spatially flat Friedmann universe. Our approach works at
all cosmic scales and incorporates linear and nonlinear effects with respect to
energy density fluctuations. The gravitational potential can be split into
individual contributions from each matter source. Each potential is
characterized by a Yukawa interaction with the same range, which is of the
order of 3700 Mpc at the present time. The derived equations can form the
theoretical basis for numerical simulations for a wide class of modern
cosmological models.
