The luminosity-core mass relation - Why and how

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Cores, Stellar Luminosity, Stellar Mass, Stellar Structure, Stellar Envelopes, White Dwarf Stars

Scientific paper

Havazelet and Barkat (1979) have shown that at the stage of evolution of intermediate-mass stars which is characterized by the presence of a double burning shell (H, He) on top of a mostly degenerate C-O core, whose mass is m(c), the stellar luminosity (l, in solar units) depends almost only on m(c). Paczynski (1970) obtained a linear luminosity-core mass relationship. The present investigation is concerned with a suitable theoretical explanation regarding the existence and form of the l-m(c) relations. An approach is shown for deriving the existence of these relations under a basic set of assumptions together with the homology assumption. It is assumed that the star has a core of mass m(c) which resembles a classical white dwarf. It has a thin burning shell which surrounds the core. The luminosity in the transition zone is assumed to be constant and equal to the local radiative luminosity l.

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