Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs

Details Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs

2008-09-15

arxiv.org/abs/0809.2560v3

Duke Math. J. 152 (2010), no. 2, 257-315

Mathematics

Analysis of PDEs

43 pages. Third and final version. Section 5 revised and main result extended. To appear in Duke Math. Journal.

Scientific paper

10.1215/00127094-2010-013

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 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.

Affiliated with

Also associated with

No associations

Rating

Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635612