A combined Majumdar-Papapetrou-Bonnor field as extreme limit of the double-Reissner-Nordstrom solution

Abstract

The general extreme limit of the double-Reissner-Nordstrom solution is worked out in explicit analytical form involving prolate spheroidal coordinates. We name it the combined Majumdar-Papapetrou-Bonnor field to underline the fact that it contains as particular cases the two-body specialization of the well-known Majumdar-Papapetrou solution and Bonnor's three-parameter electrostatic field. To the latter we give a precise physical interpretation as describing a pair of non-rotating extremal black holes with unequal masses and unequal opposite charges kept apart by a strut, the absolute values of charges exceeding the respective (positive) values of masses.

10 pages, 3 figures, title changed, the result extended, matching the published version

References in corpus (3)

• The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
• Black diholes with unbalanced magnetic charges
• Singular sources in the Demianski-Newman spacetimes

Cited by in corpus (8)

• Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
• Exact solution for a binary system of unequal counter-rotating black holes
• Opposite charged two-body system of identical counter-rotating black holes
• Binary system of unequal counterrotating Kerr-Newman sources
• Energy extraction from the Reissner-Nordström de Sitter black hole
• Energy extraction in electrostatic extreme binary black holes
• Extremally charged line
• Gauge-Theoretical Method in Solving Zero-curvature Equations II--Non-Weyl Class Solutions of the Static Einstein-Maxwell Equations