Weakly Nonlinear Clustering for Arbitrary Expansion Histories

Details Weakly Nonlinear Clustering for Arbitrary Expansion Histories Weakly Nonlinear Clustering for Arbitrary Expansion Histories

1998-07-20

arxiv.org/abs/astro-ph/9807211v1

Astrophys.J. 514 (1999) 7

Astronomy and Astrophysics

Astrophysics

11 pages, 1 Postscript figure, uses AASTeX, submitted to ApJ Letters

Scientific paper

10.1086/306950

Bouchet et al. (1992) showed that in an open or closed Universe with only pressureless matter, gravitational instability from Gaussian initial conditions induces a normalized skewness, $S_3 \equiv \VEV{\delta^3} \VEV{\delta^2}^{-2}$, that has only a very weak dependence on the nonrelativistic-matter density. Here we generalize this result to a plethora of models with various contributions to the total energy density, including nonrelativistic matter, a cosmological constant, and other forms of missing energy. Our numerical results show that the skewness (and bispectrum) depend only very weakly ($\lesssim 2%$) on the expansion history. Thus, the skewness and bispectrum provide a robust test of gravitational instability from Gaussian initial conditions, independent of the underlying cosmological model.

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