Péridier Library Abstract Archive
Abstract No. UT 369
Title: Gravitational Instability in Collisionless Cosmological Pancakes
Author(s): Azita Valinia, Paul R. Shapiro, Hugo Martel, and Ethan T. Vishniac
Keywords: cosmology: theory --- dark matter --- galaxies:formation --- instabilities --- large-scale structure of universe
E-Mail: Dr. Hugo Martel (to request a full copy of this paper)
Preprint: 9610228 Document source or PostScript
Release date: 10/31/96 17:24:00
Publication status: Astrophysical Journal, in press (1997)
Comments: 61 pages, 19 figures
The gravitational instability of cosmological pancakes composed of collision-
less dark matter in an Einstein-de Sitter universe is investigated numerically
to demonstrate that pancakes are unstable with respect to fragmentation and
the formation of filaments. A "pancake" is defined here as the nonlinear
outcome of the growth of a 1D, sinusoidal, plane-wave, adiabatic density
perturbation. We have used high resolution, 2D, N-body simulations by the
Particle-Mesh (PM) method to study the response of pancakes to perturbation
by either symmetric (density) or antisymmetric (bending or rippling) modes,
with corresponding wavevectors ks and ka transverse to the
wavevector kp
of the unperturbed pancake plane-wave. We consider dark matter which is
initially "cold" (i.e., with no random thermal velocity in the initial con-
ditions). We also investigate the effect of a finite, random, isotropic,
initial velocity dispersion (i.e., initial thermal velocity) on the fate of
pancake collapse and instability. Pancakes are shown to be gravitationally
unstable with respect to all perturbations of wavelength l < lp (where
lp = 2 pi/kp). These results are in
contradiction with the expectations of an
approximate, thin-sheet energy argument.