Zero average values of cosmological perturbations as an indispensable condition for the theory and simulations

TL;DR

This paper highlights the importance of ensuring zero average values of cosmological perturbations for accurate theory and simulations, proposing finite-range gravitational potentials as a solution.

Contribution

It introduces the use of finite-range gravitational potentials to guarantee zero average cosmological perturbations, addressing a weakness in standard methods.

Findings

Finite-range potentials resolve nonzero average perturbation issues.

Illustrative density profile demonstrates the effectiveness of the approach.

Ensures consistency in cosmological simulations and theoretical models.

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.