Density growth in Kantowski-Sachs cosmologies with cosmological constant

Details Density growth in Kantowski-Sachs cosmologies with cosmological constant Density growth in Kantowski-Sachs cosmologies with cosmological constant

2011-06-24

arxiv.org/abs/1106.4932v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 17 pictures

Scientific paper

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 bounces in the cosmic scale factor is considered. We find that typically the density gradient in the bouncing directions experiences a local maximum at or slightly after the bounce.

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