Why weakly non-linear effects are small in a zero-pressure cosmology

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Gravitational Effects, Nonlinear Equations, Perturbation Theory, Space Density, Galactic Evolution, Newton Theory, Pressure Effects, Vacuum Effects

Scientific paper

According to the usual model, the early universe was initially smooth and isotropic. Structure is assumed to have emerged through the action of gravitational forces on a set of initial perturbations. Juszkiewicz (1981) has asserted that the nonlinear transfer of power to high frequencies from power at some large scale can have a dramatic effect on the perturbation spectrum. The present investigation has the objective to show that the result obtained by Juszkiewicz is due to an incomplete analysis. A calculation is presented of the first-order nonlinear interactions between density perturbations in an expanding, Newtonian cosmology.

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