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Phys. Rev. D 76, 124032 (2007) [6 pages]

Double-Reissner-Nordström solution and the interaction force between two spherical charged masses in general relativity

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Vladimir S. Manko
Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, A.P. 14-740, 07000 México D.F., Mexico

Received 10 October 2007; published 27 December 2007

The physical representation of the general double–Reissner–Nordström solution is obtained by rewriting the N=2 Bretón–Manko–Aguilar electrostatic metric in the Varzugin–Chistyakov parametrization (Mi,Qi,R). A concise analytical formula is derived for the interaction force between two arbitrary Reissner–Nordström constituents, and an example of the equilibrium configuration involving two oppositely charged particles which confirms earlier Bonnor’s prediction of the existence of such configurations is given.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.124032
DOI:
10.1103/PhysRevD.76.124032
PACS:
04.20.Jb, 04.70.Bw, 97.60.Lf