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arXiv · 0710.2515

Superposition of fields of two Reissner - Nordstrom sources

G. A. Alekseev·V. A. Belinski
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Abstract

In this paper we present a 5-parametric family of static asymptotically flat solutions for the superposed gravitational and electromagnetic fields of two Reissner-Nordström sources with arbitrary parameters -- masses, charges and separating distance. A procedure for solving of the linear singular integral equation form of the electrovacuum Einstein - Maxwell equations for stationary axisymmetric fields is described in detail. The 4-parametric family of equilibrium configurations of two Reissner-Nordström sources (one of which should be a black hole and another one -- a naked singularity) presented in our recent paper \cite{Alekseev-Belinski:2007} arises after a restriction of the parameters of the 5-parametric solution presented here by the equilibrium condition which provides the absence in the solution of conical points on the symmetry axis between the sources.

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G. A. Alekseev, V. A. Belinski. 2007-10-12. Superposition of fields of two Reissner - Nordstrom sources. https://doi.org/10.1142/9789812834300_0022

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