A solar neutrino loophole: standard solar models.
Abstract
The salient aspects of the existence theorem for a unique solution to a system of linear or nonlinear firstorder, 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.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 November 1975
 Bibcode:
 1975A&A....44..237R
 Keywords:

 Existence Theorems;
 Neutrinos;
 Solar Physics;
 Stellar Structure;
 Astronomical Models;
 Photosphere;
 Solar Interior;
 Temperature Distribution;
 Uniqueness Theorem;
 Solar Physics