title: Zero average values of cosmological perturbations as an indispensable condition for the theory and simulations.
abstract: We point out a weak side of the commonly used determination of scalar cosmological perturbations lying in the fact that their average values can be nonzero for some matter distributions. It is shown that introduction of the finite-range gravitational potential instead of the infinite-range one resolves this problem. The concrete illustrative density profile is investigated in detail in this connection.
authors: CREST and NASA Research Centers, North Carolina Central University, Fayetteville st. 1801, Durham, NC 27707 USA.
authors: Maxim
authors: M
authors: Eingorn
authors: Department of Theoretical Physics and Astronomical Observatory, Odessa National University, Dvoryanskaya st. 2, Odessa, 65082 Ukraine.
authors: Maxim
authors: M
authors: Brilenkov
authors: CREST and NASA Research Centers, North Carolina Central University, Fayetteville st. 1801, Durham, NC 27707 USA.
authors: Branislav
authors: B
authors: Vlahovic