Gravitational instability of a two-component medium in an expanding universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Big Bang Cosmology, Fluctuation Theory, Gravitation Theory, Systems Stability, Adiabatic Conditions, Density Distribution, Hydrodynamics, Perturbation, Relativity

Scientific paper

New exact solutions of the problem of the linear gravitational instability of a two-component hydrodynamical medium in an expanding Friedmann Universe are found for the following two cases using the Newtonian approximation: (1) one of the components is dust-like (with its sound velocity equal to zero); (2) the polytropic index of one of the components is equal to 4/3. The polytropic index of the other component is assumed to be an arbitrary constant in both cases.

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