Self-similar and charged spheres in the free-streaming approximation

TL;DR

This paper models the evolution of charged, self-similar spherical matter distributions undergoing dissipation via free-streaming, highlighting the impact of transport mechanisms on gravitational collapse and charge redistribution.

Contribution

It introduces a self-similar interior solution matched with a charged exterior, analyzing how transport mechanisms influence collapse and charge dynamics.

Findings

Nearly half of the initial mass is radiated away.

Transport mechanisms critically affect charge redistribution.

The model links interior evolution with exterior Reissner-Nordström-Vaidya spacetime.

Abstract

We evolve nonadiabatic charged spherical distributions of matter. Dissipation is described by the free-streaming approximation. We match a self-similar interior solution with the Reissner-Nordstr\"om-Vaidya exterior solution. The transport mechanism is decisive to the fate of the gravitational collapse. Almost a half of the total initial mass is radiated away. The transport mechanism determines the way in which the electric charge is redistributed.