Abstract
Some of the results of a rigorous analysis of the Chandrasekhar semiclassical theory of stellar collapse are presented here. They are of two kinds. The first concerns the Chandrasekhar equation itself; we prove the uniqueness of the solution and also prove 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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Work partially supported by US National Science Foundation grant PHY 85-15288-A01.
Work supported by Alfred Sloan Foundation Dissertation Fellowship.
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© 1997 Springer-Verlag Berlin Heidelberg
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Lieb, E.H., Yau, HT. (1997). A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03436-1_39
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DOI: https://doi.org/10.1007/978-3-662-03436-1_39
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