Instability of a one-dimensionally collapsing cloud

Details Instability of a one-dimensionally collapsing cloud Instability of a one-dimensionally collapsing cloud

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981azh....58..289m&link_type=abstract

Astronomicheskii Zhurnal, vol. 58, Mar.-Apr. 1981, p. 289-299. In Russian.

Computer Science

Sound

Cosmology, Dynamic Stability, Galactic Evolution, Gravitation Theory, Gravitational Collapse, Big Bang Cosmology, Clouds, Compressed Gas, Galactic Clusters, Perturbation Theory, Sound Waves, Tensor Analysis, Universe

Scientific paper

The paper examines the instability of a one-dimensionally collapsing cloud (described by the Zel'dovich solution) with respect to small perturbations. In the case of one-dimensional contraction, the instability is shown to be kinematic in nature. At sufficiently late stages, the perturbations represent strongly oblate configurations. It is shown that perturbation amplitude increases proportionally to cloud density during contraction; the effective rate of growth of the perturbations with increasing cloud density in the one-dimensional case is significantly larger than under spherically symmetric contraction.

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