https://doi.org/10.1140/epjc/s10052-015-3598-z
Regular Article - Theoretical Physics
Zero average values of cosmological perturbations as an indispensable condition for the theory and simulations
1
CREST and NASA Research Centers, North Carolina Central University, Fayetteville st. 1801, Durham, NC, 27707, USA
2
Department of Theoretical Physics and Astronomical Observatory, Odessa National University, Dvoryanskaya st. 2, Odessa, 65082, Ukraine
* e-mail: maxim.eingorn@gmail.com
Received:
6
April
2015
Accepted:
3
August
2015
Published online:
22
August
2015
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.
© The Author(s), 2015
