The evolution of inhomogeneities in expanding Newtonian cosmologies

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Evolution (Development), Newton Theory, Density Distribution, Differential Equations, Inhomogeneity

Scientific paper

New variables (covariant and gauge invariant quantities) have recently been defined that characterize density inhomogeneities in an almost uniform relativistic universe in a transparent way (Ellis and Bruni). In this paper the Newtonian version of this formalism is derived and its properties examined. A second-order vector ordinary differential equation enables a unified and transparent derivation of a series of results on the growth of density inhomogeneities in the expanding universe.

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