Blow-up Profile of Neutron Stars in the Chandrasekhar theory

Abstract

We study the Chandrasekhar variational model for neutron stars, with or without an external potential. We prove the existence of minimizers when the attractive interaction strength $\tau$ is strictly smaller than the Chandrasekhar limit ${\tau }_c$ and investigate the blow-up phenomenon in the limit $\tau \uparrow {\tau }_c$. We show that the blow-up profile of the minimizer(s) is given by the Lane-Emden solution.

References in corpus (2)

• Existence and mass concentration of pseudo-relativistic Hartree equation
• On Blow-up Profile of Ground States of Boson Stars with External Potential

Cited by in corpus (2)

• Many-Body Blow-Up Profile of Boson Stars with External Potentials
• Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory