Weakly nonlinear gravitational instability for arbitrary Omega

Details Weakly nonlinear gravitational instability for arbitrary Omega Weakly nonlinear gravitational instability for arbitrary Omega

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...394l...5b&link_type=abstract

Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 394, no. 1, July 20, 1992, p. L5-L8.

Statistics

Computation

199

Computational Astrophysics, Cosmology, Galactic Evolution, Gravitational Effects, Perturbation Theory, Skewness, Universe

Scientific paper

The weakly nonlinear evolution of particle trajectories in Friedmann-Lemaitre models with zero cosmological constant. The matter is assumed to be a nonrelativistic pressureless fluid. A perturbative expansion in Lagrangian coordinates is used and analytic expressions for the second-order solutions with arbitrary density parameter Omega are derived. This perturbative expansion is valid provided the gradients of the displacement field are small, a much weaker condition than the usual Eulerian requirement of smallness of the density perturbations. The gravitationally induced skewness in the distribution of an initially Gaussian density contrast field delta is calculated.

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