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.

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

References in corpus (1)

• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory

Cited by in corpus (1)

• Soliton methods and the black hole balance problem