Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985azh....62..459s&link_type=abstract
(Astronomicheskii Zhurnal, vol. 62, May-June 1985, p. 459-467) Soviet Astronomy (ISSN 0038-5301), vol. 29, May-June 1985, p. 267
Astronomy and Astrophysics
Astronomy
3
Cosmology, Density Wave Model, Gravitational Collapse, Perturbation Theory, Newton Theory, Systems Stability
Scientific paper
In the Newtonian approximation, the gravitational instability of a two- or N-component medium in an expanding universe is considered. The system of density-perturbation equations is solved in the short- and long-wave limits. For small values of the wave vector k, a result obtained for the stationary case continues to hold true: at most there can exist only one unstable mode. If k is kept fixed, the introduction of a perturbation component deltai will speed the growth of fluctuations deltaj, provided the adiabatic indices gammai is greater than gammaj. In the large-k limit, ordinary acoustic waves result. Other components will begin to manifest themselves in the first-order terms when the oscillation amplitude is expanded in power of k to the -1st: provided gammaj is greater than gammai which is greater than or equal to 4/3, the ith-component amplitude will decay more slowly than otherwise.
Nurgaliev I. S.
Soloveva L. V.
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