1 April 2010 Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs
Enno Lenzmann, Mathieu Lewin
Author Affiliations +
Duke Math. J. 152(2): 257-315 (1 April 2010). DOI: 10.1215/00127094-2010-013

Abstract

We prove the existence of minimizers for Hartree-Fock-Bogoliubov (HFB) energy functionals with attractive two-body interactions given by Newtonian gravity. This class of HFB functionals serves as a model problem for self-gravitating relativistic Fermi systems, which are found in neutron stars and white dwarfs. Furthermore, we derive some fundamental properties of HFB minimizers such as a decay estimate for the minimizing density. A decisive feature of the HFB model in gravitational physics is its failure of weak lower semicontinuity. This fact essentially complicates the analysis compared to the well-studied Hartree-Fock theories in atomic physics

Citation

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Enno Lenzmann. Mathieu Lewin. "Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs." Duke Math. J. 152 (2) 257 - 315, 1 April 2010. https://doi.org/10.1215/00127094-2010-013

Information

Published: 1 April 2010
First available in Project Euclid: 31 March 2010

zbMATH: 1202.49013
MathSciNet: MR2656090
Digital Object Identifier: 10.1215/00127094-2010-013

Subjects:
Primary: 35Q55
Secondary: 49J40

Rights: Copyright © 2010 Duke University Press

Vol.152 • No. 2 • 1 April 2010
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