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.
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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