Charged membrane as a source for repulsive gravity

TL;DR

This paper presents a new derivation of an exact Einstein-Maxwell solution for a charged membrane that can produce a stable, repulsive gravitational effect, offering a physically meaningful model for naked singularities.

Contribution

It introduces a novel derivation method for charged membrane solutions and demonstrates their potential to create stable, repulsive gravity regions, improving understanding of naked singularities.

Findings

Stable, static membrane solutions exist within specific parameter ranges.

Membranes can eliminate naked singularities and produce repulsive gravity.

The model provides a physically consistent source for Reissner-Nordstrom solutions.

Abstract

We demonstrate an alternative (with respect to the ones existing in literature) and more habitual for physicists derivation of exact solution of the Einstein-Maxwell equations for the motion of a charged spherical membrane with tangential tension. We stress that the physically acceptable range of parameters for which the static and stable state of the membrane producing the Reissner-Nordstrom (RN) repulsive gravity effect exists. The concrete realization of such state for the Nambu-Goto membrane is described. The point is that membrane are able to cut out the central naked singularity region and at the same time to join in appropriate way the RN repulsive region. As result we have a model of an everywhere-regular material source exhibiting a repulsive gravitational force in the vicinity of its surface: this construction gives a more sensible physical status to the RN solution in the naked singularity case.