Many accelerating distorted black holes

Abstract

An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. The solution can be completely regularised from any conical singularity, thanks to the presence of an external gravitational field. Therefore the multi-black hole configuration can be maintained at equilibrium without the need of string or struts. Some notable subcases such as the accelerating distorted Schwarzschild black hole and the double distorted C-metric are explicitly presented. The Smarr law and the thermodynamics of these systems is studied. The Bonnor-Swaminarayan and the Bičák-Hoenselaers-Schmidt particle metrics are recovered, through appropriate limits, from the multi-black holes solutions.

19 pages, 5 figures. v2: minor corrections, references added

References in corpus (5)

• Interpreting the C-metric
• Stationary axisymmetric spacetimes with a conformally coupled scalar field
• Embedding hairy black holes in a magnetic universe
• Binary black hole system at equilibrium
• Charged and rotating multi-black holes in an external gravitational field

Cited by in corpus (7)

• Binary black hole system at equilibrium
• Removal of conical singularities from rotating C-metrics and dual CFT entropy
• Distinguishing a Slowly Accelerating Black Hole by Differential Time Delays of Images
• Bubbles of nothing in binary black holes and black rings, and viceversa
• Charged and rotating multi-black holes in an external gravitational field
• A closer glance at black hole pair creation
• Lensing Signatures of a Slowly-Accelerated Black Hole