Abstract
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.
- Received 26 January 1998
DOI:https://doi.org/10.1103/PhysRevD.58.044001
©1998 American Physical Society