Charged and rotating multi-black holes in an external gravitational field

Abstract

We construct analytical and regular solutions in four-dimensional General Relativity which represent multi-black hole systems immersed in external gravitational field configurations. The external field background is composed by an infinite multipolar expansion, which allows to regularise the conical singularities of an array of collinear static black holes. A stationary rotating generalisation is achieved by adding independent angular momenta and NUT parameters to each source of the binary configuration. Moreover, a charged extension of the binary black hole system at equilibrium is generated. Finally, we show that the binary Majumdar-Papapetrou solution is consistently recovered in the vanishing external field limit. All of these solutions reach an equilibrium state due to the external gravitational field only, avoiding in this way the presence of any string or strut defect.

22 pages, 4 figures. v2: Mathematica worksheet included in the arXiv files, typos corrected, references added

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
• On the interaction between two Kerr black holes
• Binary black hole system at equilibrium
• Many accelerating distorted black holes

Cited by in corpus (9)

• Accelerating and Charged Type I Black Holes
• Binary black hole system at equilibrium
• Removal of conical singularities from rotating C-metrics and dual CFT entropy
• Many accelerating distorted black holes
• Thermodynamics of charged and accelerating black holes
• A closer glance at black hole pair creation
• Periodic analogues of the Kerr solutions: a numerical study
• Exact Geometries from Boundary Gravity
• A Generalized Class of Taub-NUT-Scalar Metrics