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Extremely Charged Static Dust Distributions in General Relativity

Metin Gurses
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Abstract

Conformo static charged dust distributions are investigated in the framework of General Relativity. Einstein's equations reduce to a nonlinear version of Poisson's equations and Maxwell's eqations imply the equaltiy of the charge and mass densities. An interior solution to the extreme Reissner-Nordstrom metric is given. Dust distributions concentrated on regular surfaces are discussed and a complete solution is given for a spherical thin shell.

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Metin Gurses. 1998-06-30. Extremely Charged Static Dust Distributions in General Relativity. https://arxiv.org/abs/gr-qc/9806038

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