Electrostatic self-force and material sources of the gravitational field

Details Electrostatic self-force and material sources of the gravitational field Electrostatic self-force and material sources of the gravitational field

Jul 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..731l&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, July 1986, p. 731-744.

Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Electrostatics, Gravitational Fields, Mass Distribution, Schwarzschild Metric, Maxwell Equation, Multipolar Fields, Point Sources, Potential Fields

Scientific paper

Using a multipolar expansion we determine the electrostatic potential generated by a point source held fixed in the Schwarzschild metric matched successively with two interior metrics, which describes, respectively, two forms of material distributions. The expression of the potential obtained is reformulated by means of the Copson-Linet potential, valid for the Schwarzschild black hole situation. The self-force acting on the source is then determined. We establish that its expression depends on the material sources of the gravitational field. The transition to the black hole situation is then performed.

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