Gravitational instability in a multicomponent cosmological medium

Statistics – Computation

Scientific paper

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Astronomical Models, Computational Astrophysics, Cosmology, Gravitational Effects, Asymptotic Methods, Differential Equations, Perturbation Theory, Stability

Scientific paper

A systematic approach to exact solutions for the evolution of small density inhomogeneities of a two-component and in special cases for a three-component cosmological medium is presented. In general, there exists just one increasing perturbation mode. Expressing the solutions of the respective differential equations in terms of Meijer's G function (1946), various exact and asymptotic formulas for the perturbation modes are derived.

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