Dynamical Effects of the Cosmological Constant - the Evolution of Aspherical Structures

Astronomy and Astrophysics – Astronomy

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Cosmology: Theory - Large-Scale Structure Of Universe Bibliographic Code: 1993Mnras.263..913L

Scientific paper

I investigate the influence of a non-zero cosmological constant on the evolution of anisotropy in overdensities that grow by gravitational collapse. The claim that a positive value of Λ might produce stronger asphericities is considered by following the collapse of homogeneous spheroids imbedded in Friedman-Lemaitre backgrounds. It is shown that, although the calculations indeed show this effect, it is small for the values of Λ allowed by the classical cosmological tests. When we do not limit ourselves by constraints arising from the choice of an initial fluctuation spectrum, structures in an open universe (Ω0=0.1, λ0=0), including the peculiar velocity structure, can be reproduced in a flat Lemaitre universe (Ω0=0.1, λ0=0.9) for a large part of their evolution. From initial conditions that are not too extreme, these two world models are both able to produce strong anisotropies that easily persist for a Hubble time. This stability of flattening is the only aspect in which these two models differ significantly from the Einstein-de Sitter model. Taking into account the crudeness of the model, together with the fact that observed large-scale structures are not isolated, we conclude that use of this aspect of the dynamics of structure formation is not a promising method of placing tighter constraints on the value of Λ.

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