Stability analysis of expansion-free charged planar geometry

Abstract

This paper analyzes the stability of a collapsing matter distribution enclosed by plane symmetry in the presence of electromagnetic field. The field equations, matching conditions as well as conservation laws are formulated for non-static planar geometry. We apply perturbation to obtain the dynamical equation for Newtonian and postNewtonian eras with expansion-free scenario. The role of electric charge with anisotropic matter configuration is studied in the stability regions. We conclude that this system becomes more stable as compared to the uncharged case.