Density growth in Kantowski-Sachs cosmologies with cosmological constant
General Relativity and Quantum Cosmology
2012-05-01 v4
Abstract
In this work the growth of density perturbations in Kantowski-Sachs cosmologies with a positive cosmological constant is studied, using the 1+3 and 1+1+2 covariant formalisms. For each wave number we obtain a closed system for scalars formed from quantities that are zero on the background and hence are gauge-invariant. The solutions to this system are then analyzed both analytically and numerically. In particular the effects of anisotropy and the behaviour close to a bounce in the cosmic scale factor are considered. We find that typically the density gradient in the bouncing directions experiences a local maximum at or slightly after the bounce.
Keywords
Cite
@article{arxiv.1106.4932,
title = {Density growth in Kantowski-Sachs cosmologies with cosmological constant},
author = {Michael Bradley and Peter K. S. Dunsby and Mats Forsberg and Zoltán Keresztes},
journal= {arXiv preprint arXiv:1106.4932},
year = {2012}
}
Comments
33 pages, 17 pictures