The equilibrium of polytropic self-gravitating sheetlike masses

Details The equilibrium of polytropic self-gravitating sheetlike masses The equilibrium of polytropic self-gravitating sheetlike masses

Oct 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...285..784i&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 285, Oct. 15, 1984, p. 784-790. Research supported by the Universidad de Lo

Astronomy and Astrophysics

Astrophysics

8

Astronomical Models, Cosmic Gases, Hydrodynamics, Polytropic Processes, Stellar Gravitation, Density Distribution, Equilibrium Equations, Series Expansion, Slabs

Scientific paper

The equilibrium distributions of pressure, density, gravitational potential, internal and gravitational energies per unit area, are found for infinite self-gravitating slabs, with pressure and density related by a polytropic equation. A general but approximate series expansion for the plane Lane-Emden solution thetan(xi) is obtained. The dependence of the half-thickness xi1, the half-thickness enclosing the half-mass per unit area xi1/2, and the total mass per unit area are found as a function of the polytropic index n. It is proved that the half-thickness xi1 and the total mass per unit area are finite for all values of n not less than 0.

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