Intersections of self-gravitating charged shells in a Reissner-Nordstrom field

TL;DR

This paper models the dynamics of two charged shells intersecting in a Reissner-Nordstrom spacetime, providing solutions for their motion post-intersection and exploring various physical scenarios.

Contribution

It extends previous work by deriving equations of motion for intersecting charged shells in RN spacetime, including post-Newtonian, ultra-relativistic, and ejection scenarios.

Findings

Derived equations for shell motion after intersection.

Analyzed post-Newtonian and ultra-relativistic limits.

Explored ejection mechanisms of shells.

Abstract

We describe the equation of motion of two charged spherical shells with tangential pressure in the field of a central Reissner-Nordstrom (RN) source. We solve the problem of determining the motion of the two shells \textsl{after} the intersection by solving the related Einstein-Maxwell equations and by requiring a physical continuity condition on the shells velocities. We consider also four applications: post-Newtonian and ultra-relativistic approximations, a test-shell case, and the ejection mechanism of one shell. This work is a direct generalization of Barkov-Belinski-Bisnovati-Kogan paper.