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

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

2006-04-25

arxiv.org/abs/gr-qc/0604108v1

Gen.Rel.Grav.39:267-275,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1007/s10714-006-0383-1

We build extended sources for the Reissner-Nordstr\"{o}m 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.

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