Cosmological screening
Alexander Zhuk
Odessa I.I. Mechnikov National University, Ukraine
Currently visiting Jilin Univ.
We study a universe filled with CDM in the form of discrete inhomogeneities (e.g., galaxies and their groups and clusters) and DE in the form of continuous perfect fluid with the constant equation of state. The background space-time geometry is defined by the FLRW metric. In the weak gravitational field limit, we develop the first-order scalar cosmological perturbation theory. Our approach works at all cosmological scales (i.e. sub-horizon and super-horizon ones) 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 of these contributions satisfies its own equations. The gravitational potentials are characterized by a finite time-dependent Yukawa interaction range being the same for each individual contribution and 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 cosmological models