Sources for the Majumdar-Papapetrou space-times
Physical Review D - Particles, Fields, Gravitation and Cosmology
American Physical Society
440011 - 440013
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Einstein's field equations are solved exactly for static charged dust distributions. These solutions generalize the Majumdar-Papapetrou metrics. Maxwell's equations lead to the equality of charge and mass densities of the dust distrubition. Einstein's equations reduce to a nonlinear version of Poisson's equation.