Nonlinear structures of self-gravitating systems in stable modes

Details Nonlinear structures of self-gravitating systems in stable modes Nonlinear structures of self-gravitating systems in stable modes

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...294..339z&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 294, no. 2, p. 339-344

Astronomy and Astrophysics

Astrophysics

2

Dark Matter, Gravitation Theory, Gravitational Collapse, Nonlinear Systems, Solitary Waves, Cosmology, Nonlinear Equations, Universe

Scientific paper

Nonlinear structures of a self-gravitating system are theoretically studied. First, governing equations of the self-gravitating system in a stable mode are derived. Then, the corresponding Lagrangian density is proposed and the conservation quantities are obtained; and the nonlinear motions and structures of the system are investigated. It is shown that the pancake-like structures can also be formed in the stable mode due to the nonlinear collapse or expansion. Third, a one-dimensional soliton type solution of the equations is obtained. The behavior of our solution is similar to that of the self-similar results of Fillmore & Goldreich (1984) and of Bertschinger (1985).

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