Astronomy and Astrophysics – Astrophysics
Scientific paper
1993-06-08
Astrophys.J. 412 (1993) L9
Astronomy and Astrophysics
Astrophysics
10 pages, for hardcopy with figure contact BEST@SNS.IAS.BITNET, Institute for Advanced Study number AST 92/28
Scientific paper
10.1086/186927
Large-scale structures, observed today, are generally believed to have grown from random, small-amplitude inhomogeneities, present in the early Universe. We investigate how gravitational instability drives the distribution of these fluctuations away from the initial state, assumed to be Gaussian. Using second order perturbation theory, we calculate the skewness factor, $S_3 \equiv \langle \delta^3 \rangle \, /\, \langle \delta^2 \rangle^2$. Here the brackets, $\langle \ldots \rangle$, denote an ensemble average, and $\delta$ is the density contrast field, smoothed with a low pass spatial filter. We show that $S_3$ decreases with the slope of the fluctuation power spectrum; it depends only weakly on $\Omega$, the cosmological density parameter. We compare perturbative calculations with N-body experiments and find excellent agreement over a wide dynamic range. If galaxies trace the mass, measurements of $S_3$ can be used to distinguish models with Gaussian initial conditions from their non-Gaussian alternatives.
Bouchet Francois R.
Colombi Stephane
Juszkiewicz Roman
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