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

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

1994-09-18

arxiv.org/abs/gr-qc/9409038v2

Gen.Rel.Grav. 26, 1249 (1994)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, revTeX

Scientific paper

10.1007/BF02106716

The exterior solution for an arbitrary charged, massive source, is studied as a static deviation from the Reissner-Nordstr\o m 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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