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01 June 2020
  » arxiv » 0710.2515

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Superposition of fields of two Reissner - Nordstrom source
G.A. Alekseev ; V.A. Belinski ;
Date 12 Oct 2007
AbstractIn this paper we present a 5-parametric family of static asymptotically flat solutions for the superposed gravitational and electromagnetic fields of two Reissner-Nordstr"om 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-Nordstr"om 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.
Source arXiv, 0710.2515
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