Solutions in Newtonian cosmology - The pancake theory with cosmological constant

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Perturbation Theory, Three Dimensional Models

Scientific paper

Exact three-dimensional inhomogeneous Newtonian dust solutions with cosmological constant, Lambda, which generalize Zel'dovich's (Lambda = 0)-approximate solutions, are elaborated and proposed as models for pancake formation. In particular, explicit expressions are given in terms of the density parameters Omegam and Omegav for the matter and the 'vacuum energy' content, respectively, for the Omegav = 0, the spatially flat models with Omegam + Omegav = 1, and for a model with critical 'vacuum energy'. The non-linear growth of perturbations is analyzed and compared to the standard approximation in the flat model. As an example the Cold Dark Matter cosmogony is considered. Constraints on the value of Lambda are discussed in light of the timing of the non-linear structure formation process.

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