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

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.

21 pages, 1 figure;v3 added references

References in corpus (2)

• On the electromagnetic field of a charged collapsing spherical shell in general relativity
• An Exact General-Relativity Solution for the Motion and Intersections of Self-Gravitating Shells in the Field of a Massive Black Hole

Cited by in corpus (1)

• Motion of charged test particles in Reissner--Nordström spacetime