Neutral perfect fluids and charged thin shells with electromagnetic mass in general relativity

Abstract

We build extended sources for the Reissner-Nordström metric. Our models describe a neutral perfect fluid core bounded by a charged thin shell, and feature everywhere positive rest mass density and everywhere non-negative active gravitational mass, as well as classical electron radius and electromagnetic total mass. We contrast our results with previously discussed models featuring similar properties at the expense of including anisotropic pressures within the fluid. Our charged thin shells are restricted by the 2D texture equation of state which causes the continuity of the active gravitational mass, in spite of the singularity of the energy-momentum tensor. We mention possible extensions of this study suggested by modified active mass formulae proposed in the literature.

8 pages

References in corpus (8)

• Static charged perfect fluid spheres in general relativity
• Equivalence of Darmois-Israel and Distributional-Methods for Thin Shells in General Relativity
• Energy Conditions and Junction Conditions
• An ansatz for spacetimes of zero gravitational mass : global monopoles and textures
• Classical Electron Model with Negative Energy Density in Einstein-Cartan Theory of Gravitation
• Extended particle models based on hollow singular hypersurfaces in general relativity: Classical and quantum aspects of charged textures
• Reduction of the effective mass of the Reissner-Nordstrom spacetime
• Neutral perfect fluids of Majumdar-type in general relativity

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• Self-similar and charged spheres in the free-streaming approximation
• On the dynamics of relativistic multi-layer spherical shell systems