Charged membrane as a source for repulsive gravity

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.

Accepted for publication in IJMPD, 17-07-2008; 16 pages, 1 figure

References in corpus (5)

• The use of Generalised Functions and Distributions in General Relativity
• Equilibrium configurations of two charged masses in General Relativity
• Wiggly Relativistic Strings
• Stretching Wiggly Strings
• 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 (5)

• Motion of charged test particles in Reissner--Nordström spacetime
• Monopole and dipole layers in curved spacetimes: formalism and examples
• Gravitational and electric energies in the collapse of a spherical thin-shell capacitor
• Spherical Gravitating Condensers in General Relativity
• Gravitational string-membrane hedgehog and internal structure of black holes