Gravitational instabilities and faster evolving density perturbations

Details Gravitational instabilities and faster evolving density perturbations Gravitational instabilities and faster evolving density perturbations

1998-10-09

arxiv.org/abs/astro-ph/9810146v2

Phys.Rev.D59:084014,1999

Astronomy and Astrophysics

Astrophysics

latex, 17 pages; electronic address for programs corrected

Scientific paper

10.1103/PhysRevD.59.084014

The evolution of inhomogeneities in a spherical collapse model is studied by expanding the Einstein equation in powers of inverse radial parameter. In the linear regime, the density contrast is obtained for flat, closed and open universes. In addition to the usual modes, an infinite number of new growing modes are contained in the solutions for pressureless open and closed universes. In the nonlinear regime, we obtain the leading growing modes in closed forms for a flat universe and also, in the limits of small and large times, for an open universe.

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