Dynamics of a self-gravitating neutron source

Abstract

We examine the dynamics of a self-gravitating magnetizedneutron gas as a source of a Bianchi I spacetime described by theKasner metric. The set of Einstein-Maxwell field equations can beexpressed as a dynamical system in a 4-dimensional phase space.Numerical solutions of this system reveal the emergence of apoint-like singularity as the final evolution state for a largeclass of physically motivated initial conditions. Besides thetheoretical interest of studying this source in a fully generalrelativistic context, the resulting idealized model could be helpfulin understanding the collapse of local volume elements of a neutrongas in the critical conditions that would prevail in the center of acompact object.