Axis potentials for stationary $n$-black-hole configurations

Abstract

We extend earlier discussions of the balance problem for two black holes and study stationary spacetimes containing an arbitrary number of $n$ aligned rotating and (possibly) charged black holes. For these hypothetical equilibrium configurations, we obtain the most general form of the boundary data on the symmetry axis in terms of a finite number of parameters. Hence future investigations of $n$-black-hole configurations can be restricted to studying properties of these finite families of solutions.

arXiv comment9 pages, 1 figure, accepted for publication in Class. Quantum Grav

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Cited by in corpus (1)

• Soliton methods and the black hole balance problem