Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory

Dinh-Thi, Nguyen (2019): Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory. In: Calculus of Variations and Partial Differential Equations, Bd. 58, Nr. 6, 202

Abstract

We consider the gravitational collapse for neutron stars in the Hartree-Fock-Bogoliubov theory. We prove that when the number particle becomes large and the gravitational constant is small such that the attractive interaction strength approaches the Chandrasekhar limit mass slowly, the minimizers develop a universal blow-up profile. It is given by the Lane-Emden solution.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0944-2669
• Sprache: Englisch