Physics
Scientific paper
Nov 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvd..14.2474a&link_type=abstract
Physical Review D (Particles and Fields), Volume 14, Issue 10, 15 November 1976, pp.2474-2477
Physics
15
Scientific paper
We study electrostatics in the background gravitational and electric field of a charged massive body or black hole that is described by the Reissner-Nordström metric and its associated electric field. That is, we neglect the gravitational field associated with the perturbing charges and electric fields. Specifically, we consider the special case in which the charge e and mass M of the Reissner-Nordström metric are related by e2=κM2, with κ the gravitational constant, and obtain the multipole solutions of Maxwell's equations for small electrostatic perturbations. As one example we give the field of a point test charge in remarkably simple closed algebraic form and study its behavior as the charge approaches the black-hole surface: Loosely speaking, the test charge is rapidly "swallowed" by the black hole. Lastly, we show that our results are readily generalized to cover both electrically and magnetically charged test particles.
Adler Ronald J.
Das Tapan K.
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