Binary system of unequal counterrotating Kerr-Newman sources

Abstract

Stationary axisymmetric binary systems of unequal counterrotating Kerr-Newman sources with a massless strut in between are studied. By means of the choice of a suitable parametrization, the axis conditions and the absence of individual magnetic charges are fulfilled; thus, the entire metric reduces to a 6-parametric asymptotically flat exact solution. Later on, with the purpose to describe interacting black holes, the analytic functional form of the horizon half-length parameter ${\sigma }_k$ is obtained explicitly in terms of physical Komar parameters: mass $M_k$, electric charge $Q_k$, angular momentum $J_k$, and coordinate distance $R$, where the seven physical parameters satisfy a simple algebraic relation. Finally, in the limit of extreme black holes, the full metric is derived in a closed analytical form, and a study on the absence or appearance of naked singularities off the axis is presented.

11 pages, 7 figures, 1 table, typos corrected

References in corpus (5)

• The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
• Equilibrium configurations of two charged masses in General Relativity
• Stationary black diholes
• Generalized black diholes
• On naked singularities in the extreme double Reissner-Nordström solution

Cited by in corpus (6)

• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Thermodynamics of two black holes
• Corotating two-body system of identical Kerr sources
• Simple metric for a magnetized, spinning, deformed mass
• Unequal binary configurations of interacting Kerr-Newman black holes
• Metric for two unequal extreme Kerr-Newman black holes