A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse
Abstract
Some of the results of a rigorous analysis of the Chandrasekhar (1931 and 1984) semiclassical theory of stellar collapse are presented here. They are of two kinds. The first concerns the Chandrasekhar equation itself; the uniqueness of the solution is proven, and also the fact that the solution has certain properties not noted before. The second is a derivation of the Chandrasekhar equation from quantum mechanics (in the limit of small gravitational constant) without making a priori assumptions about the smallness of correlation effects. A parallel derivation is made for stars composed of bosons (such as axion stars, if they are ever found to exist); the resulting equation is quite different from the Chandrasekhar equation, for it is of the Hartree type and involves density gradients.
 Publication:

The Astrophysical Journal
 Pub Date:
 December 1987
 DOI:
 10.1086/165813
 Bibcode:
 1987ApJ...323..140L
 Keywords:

 Chandrasekhar Equation;
 Gravitational Collapse;
 Stellar Composition;
 Stellar Models;
 Bosons;
 Density Distribution;
 Gravitational Constant;
 Hartree Approximation;
 Quantum Mechanics;
 Uniqueness Theorem;
 Astrophysics;
 STARS: COLLAPSED;
 STARS: INTERIORS