An exact solution for a rotating selfgravitating gas mass with oscillatory density

Details An exact solution for a rotating selfgravitating gas mass with oscillatory density An exact solution for a rotating selfgravitating gas mass with oscillatory density

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...154..214s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 154, no. 1-2, Jan. 1986, p. 214-218.

Statistics

Computation

4

Cosmic Gases, Gas Density, Gravitational Fields, Plasma Oscillations, Rotating Fluids, Stellar Evolution, Angular Velocity, Cartesian Coordinates, Computational Astrophysics, Cosmology, Isothermal Flow

Scientific paper

An oscillatory solution of the equations of structure of isothermal selfgravitating gas masses with stationary differential rotation is given. Both the density and the rotational velocity show oscillations. The solution is an axially symmetric analogue to a solution found by Schmid-Burgk (1967) which shows a periodic structure depending on two cartesian coordinates. It falls into two families with distinct density structures but a common rotation law. The physical meaning of the solutions is discussed. In order to draw conclusions about other configurations with differential rotation the authors consider the influence of an applied external gravitational field.

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