Self--similar and charged radiating spheres: An anisotropic approach

TL;DR

This paper investigates charged, anisotropic fluid spheres with self-similarity, matching interior solutions to an exterior Reissner-Nordström-Vaidya spacetime, revealing a compact, oscillatory final state with redistributed charge and non-zero pressure.

Contribution

It introduces a model of charged, anisotropic spheres with self-similarity, linking interior solutions to an exterior spacetime and analyzing their final states.

Findings

Final state is extremely compact and oscillatory.

Electric charge distribution is redistributed.

Pressure profiles remain non-zero.

Abstract

Considering charged fluid spheres as anisotropic sources and the diffusion limit as the transport mechanism, we suppose that the inner space--time admits self--similarity. Matching the interior solution with the Reissner--Nordstr\"om--Vaidya exterior one, we find an extremely compact and oscillatory final state with a redistribution of the electric charge function and non zero pressure profiles.