Local spherically symmetric perturbations of spatially flat Friedmann models
General Relativity and Quantum Cosmology
2007-05-23 v1 Astrophysics
Abstract
The spherically symmetric perturbations in the spatially flat Friedman models are considered. It is assumed that the Friedmannian density and pressure are related through a linear equation of state. The perturbation is joined smoothly with an unperturbed Friedmann's background at the sound horizon of perturbation. Such junction is in accordance with the "birth" of a local perturbation as a result of the redistribution of matter. The solution of the Einstein's equations is obtained in linear approximation on a Friedmann's background near the the sound horizon of perturbation.
Keywords
Cite
@article{arxiv.gr-qc/0610137,
title = {Local spherically symmetric perturbations of spatially flat Friedmann models},
author = {A. A. Popov and R. K. Muharlyamov},
journal= {arXiv preprint arXiv:gr-qc/0610137},
year = {2007}
}
Comments
iopart, 10 pages