Evolution of non-spherical perturbations.

Astronomy and Astrophysics – Astrophysics

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Cosmology: Theory, Large-Scale Structure Of Universe, Galaxies: Clusters Of

Scientific paper

In this paper I investigate the evolution of primordial non-spherical positive and negative fluctuations. They can be calculated by second order of perturbation theory. I solved analytically the second order equation for arbitrary density parameter {OMEGA}_M0_ and cosmological constant {LAMBDA} using the approximation introduced by Martell & Freundling (???). The second order solution is compared with the exact one in the spherical case. I find that the initial deformation grows rapidly for positive perturbations, while the negative perturbations (voids) are stable against deformations.

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