Blowup profile of neutron stars in the Chandrasekhar theory
Abstract
We consider the gravitational collapse for neutron stars in the HartreeFockBogoliubov 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 blowup profile. It is given by the LaneEmden solution.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 July 2019
 DOI:
 10.1063/1.5085277
 arXiv:
 arXiv:1903.10062
 Bibcode:
 2019JMP....60g1508N
 Keywords:

 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Mathematics  Spectral Theory;
 81V17;
 35Q55;
 49J40
 EPrint:
 Calculus of Variations and Partial Differential Equations, 58(6), p. 202 (2019)