Physics
Scientific paper
Nov 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....44..237r&link_type=abstract
Astronomy and Astrophysics, vol. 44, no. 1, Nov. 1975, p. 237-240.
Physics
9
Existence Theorems, Neutrinos, Solar Physics, Stellar Structure, Astronomical Models, Photosphere, Solar Interior, Temperature Distribution, Uniqueness Theorem
Scientific paper
The salient aspects of the existence theorem for a unique solution to a system of linear or nonlinear first-order, ordinary differential equations are given and applied to the equilibrium stellar structure equations. It is shown that values of pressure, temperature, mass and luminosity are needed at one point - and for the sun, the logical point is the solar radius. Without an accurately known chemical composition, an accurate temperature gradient in the convective region, etc., the above conditions are a necessary condition for a unique solution to the solar problem. It is concluded that since standard solar model calculations use split boundary conditions, a solar neutrino loophole still remains; solar model calculations that seek to satisfy the necessary condition for a unique solution to the solar structure equations suggest a solar interior quite different from that deduced in standard models.
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