Dynamics of a self-gravitating magnetized neutron source

TL;DR

This paper investigates the complex dynamics of a magnetized, self-gravitating neutron gas within an anisotropic spacetime, revealing a singular collapse solution potentially relevant to neutron star core behavior.

Contribution

It models the neutron gas dynamics using Einstein-Maxwell equations in a Bianchi I spacetime, incorporating magnetic field effects and identifying a unique collapse solution.

Findings

Existence of a unique singular collapse solution

Numerical solutions demonstrate anisotropic evolution

Potential implications for neutron star core collapse

Abstract

The dynamics of a self-gravitating neutron gas in presence of a magnetic field is being studied taking the equation of state of a magnetized neutron gas obtained in a previous study [2]. We work in a Bianchi I spacetime characterized by a Kasner metric, this metric allow us to take into account the anisotropy that introduces the magnetic field. The set of Einstein-Maxwell field equations for this gas becomes a dynamical system in a 4-dimensional phase space. We get numerical solutions of the system. In particular there is a unique point like solution for different initial conditions. Physically this singular solution may be associated with the collapse of a local volume of neutron material within a neutron star.