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arXiv · gr-qc/9409038

The Gravitational and Electrostatic Fields Far from an Isolated Einstein-Maxwell Source

J. Ocariz·H. Rago
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Abstract

The exterior solution for an arbitrary charged, massive source, is studied as a static deviation from the Reissner-Nordstrøm metric. This is reduced to two coupled ordinary differential equations for the gravitational and electrostatic potential functions. The homogeneous equations are explicitly solved in the particular case $q^2=m^2$, obtaining a multipole expansion with radial hypergeometric dependence for both potentials. In the limiting case of a neutral source, the equations are shown to coincide with recent results by Bondi and Rindler.

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J. Ocariz, H. Rago. 2000-03-17. The Gravitational and Electrostatic Fields Far from an Isolated Einstein-Maxwell Source. https://doi.org/10.1007/bf02106716

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