@article{6ba53b20a07611df928f000ea68e967b,
title = "Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs",
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.",
author = "Ralf-Enno Lenzmann and Mathieu Lewin",
year = "2010",
month = apr,
language = "English",
volume = "152",
pages = "257--315",
journal = "Duke Mathematical Journal",
issn = "0012-7094",
publisher = "Duke University Press",
number = "2",
}