Perturbations of the Hubble flow

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Big Bang Cosmology, Density Distribution, Energy Distribution, Hubble Constant, Background Radiation, Galactic Evolution, Gravitational Fields, Microwaves, Perturbation, Red Shift, Universe

Scientific paper

The growth of perturbations in an expanding universe in the presence of a nonvanishing cosmological constant is investigated, and it is shown that the amplification of density perturbations is much larger than previously thought. Nonlinear growth after parameterizing a perturbation by its initial redshift and by its density excess or energy deficit relative to the background is also investigated, and a definition for the strength of the perturbation is found along with a prescription of its evolution. The necessary and sufficient condition for binding, and a simple expression for the size of a cavity forming around an energy perturbation are given, and results are presented for the density contrasts in analytical form for bound virialized perturbations, and in numerical form for perturbations marginally bound or at turnaround.

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