ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER
We study a model of the inhomogeneity growth in the Universe filled with a pressureless matter. The standard hydrodynamical equations for the cosmological perturbations in the comoving frame are treated taking into account all nonlinear terms. We consider perturbations of the uniform isotropic cosm...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Odessa I. I. Mechnykov National University
2013-11-01
|
| Series: | Odessa Astronomical Publications |
| Online Access: | http://oap.onu.edu.ua/article/view/82628 |
| _version_ | 1818063311034384384 |
|---|---|
| author | V. I. Zhdanov V. M. Sliusar |
| author_facet | V. I. Zhdanov V. M. Sliusar |
| author_sort | V. I. Zhdanov |
| collection | DOAJ |
| description | We study a model of the inhomogeneity growth in the Universe filled with a pressureless matter. The standard hydrodynamical equations for the cosmological perturbations in the comoving frame are treated taking into account all nonlinear terms. We consider perturbations of the uniform isotropic cosmological background but with plane periodic initial conditions for the perturbations. The problem is reduced to ordinary differential equations for an infinite chain of Fourier coefficients for hydrodynamical variables. We perform a numerical integration of these equations (with proper truncation) for an ensemble of random initial conditions. The power spectrum of the density contrast in obtained by means of an averaging procedure. |
| first_indexed | 2024-12-10T14:18:05Z |
| format | Article |
| id | doaj.art-949af03f946b4c2a89b0c2f86ee4e0cb |
| institution | Directory Open Access Journal |
| issn | 1810-4215 |
| language | English |
| last_indexed | 2024-12-10T14:18:05Z |
| publishDate | 2013-11-01 |
| publisher | Odessa I. I. Mechnykov National University |
| record_format | Article |
| series | Odessa Astronomical Publications |
| spelling | doaj.art-949af03f946b4c2a89b0c2f86ee4e0cb2022-12-22T01:45:16ZengOdessa I. I. Mechnykov National UniversityOdessa Astronomical Publications1810-42152013-11-0126220120310.18524/1810-4215.2013.26.8262882628ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTERV. I. Zhdanov0V. M. SliusarTaras Shevchenko National University of KyivWe study a model of the inhomogeneity growth in the Universe filled with a pressureless matter. The standard hydrodynamical equations for the cosmological perturbations in the comoving frame are treated taking into account all nonlinear terms. We consider perturbations of the uniform isotropic cosmological background but with plane periodic initial conditions for the perturbations. The problem is reduced to ordinary differential equations for an infinite chain of Fourier coefficients for hydrodynamical variables. We perform a numerical integration of these equations (with proper truncation) for an ensemble of random initial conditions. The power spectrum of the density contrast in obtained by means of an averaging procedure.http://oap.onu.edu.ua/article/view/82628 |
| spellingShingle | V. I. Zhdanov V. M. Sliusar ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER Odessa Astronomical Publications |
| title | ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER |
| title_full | ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER |
| title_fullStr | ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER |
| title_full_unstemmed | ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER |
| title_short | ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER |
| title_sort | one dimensional simulations of inhomogeneity growth in pressureless gravitating matter |
| url | http://oap.onu.edu.ua/article/view/82628 |
| work_keys_str_mv | AT vizhdanov onedimensionalsimulationsofinhomogeneitygrowthinpressurelessgravitatingmatter AT vmsliusar onedimensionalsimulationsofinhomogeneitygrowthinpressurelessgravitatingmatter |