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Electrostatic self-force and material sources of the gravitational field

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Abstract

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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  1. Laboratoire de Physique Théorique, C.N.R.S. U.A. no. 769, Institut Henri Poincaré, 11, rue P. et M. Curie, 75231, Paris Cedex 05, France

    B. Léauté

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  1. B. Léauté
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Léauté, B. Electrostatic self-force and material sources of the gravitational field. Gen Relat Gravit 18, 731–744 (1986). https://doi.org/10.1007/BF00768637

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  • DOI: https://doi.org/10.1007/BF00768637

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