Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...323..140l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 323, Dec. 1, 1987, p. 140-144.
Astronomy and Astrophysics
Astrophysics
9
Chandrasekhar Equation, Gravitational Collapse, Stellar Composition, Stellar Models, Bosons, Density Distribution, Gravitational Constant, Hartree Approximation, Quantum Mechanics, Uniqueness Theorem
Scientific paper
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.
Lieb Elliott H.
Yau Horng-Tzer
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