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Title:
A rigorous examination of the Chandrasekhar theory of stellar collapse
Authors:
Lieb, Elliott H.; Yau, Horng-Tzer
Affiliation:
AA(Princeton University, NJ), AB(Princeton University, NJ)
Publication:
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 323, Dec. 1, 1987, p. 140-144. (ApJ Homepage)
Publication Date:
12/1987
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Chandrasekhar Equation, Gravitational Collapse, Stellar Composition, Stellar Models, Bosons, Density Distribution, Gravitational Constant, Hartree Approximation, Quantum Mechanics, Uniqueness Theorem
DOI:
10.1086/165813
Bibliographic Code:
1987ApJ...323..140L

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.

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