On the Structure and Secular Stability of Plane-Parallel Stellar Objects
Abstract
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.
- Publication:
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Monthly Notices of the Royal Astronomical Society
- Pub Date:
- October 1993
- DOI:
- 10.1093/mnras/264.3.636
- Bibcode:
- 1993MNRAS.264..636R
- Keywords:
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- convection - instabilities - radiative transfer - stars: interiors