On the Structure and Secular Stability of Plane-Parallel Stellar Objects

Details On the Structure and Secular Stability of Plane-Parallel Stellar Objects On the Structure and Secular Stability of Plane-Parallel Stellar Objects

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.264..636r&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 264, NO. 3/OCT1, P. 636, 1993

Astronomy and Astrophysics

Astronomy

1

Convection - Instabilities - Radiative Transfer - Stars: Interiors

Scientific paper

The structure of self-gravitating, plane-parallel, vertically stratified stellar objects, with the energy generation and opacity given by the power laws ɛ = ɛ0ρTη, κ = κ0ραT-β, is studied. It is shown that the condition for secular stability in such objects is 5 + α + β - η > 0, whereas for spherical stars the corresponding condition is η + β -3 -3α > 0. Exact solutions (in closed form) are presented both for fully radiative models and for models with a convective central region. Approximate analytic solutions are given for models with a convective central region and radiative outer layers. Numerical models are readily calculated.

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