Multi-black hole solutions in five dimensions

TL;DR

This paper constructs new multi-black hole solutions in five-dimensional spacetime using generalized Weyl formalism, revealing configurations with multiple black holes in equilibrium and their charged generalizations within Einstein-Maxwell-dilaton theory.

Contribution

It introduces a novel method to generate static multi-black hole solutions in five dimensions, including charged cases, expanding the understanding of higher-dimensional black hole configurations.

Findings

Constructed asymptotically flat multi-black hole solutions

Black holes can be in equilibrium with conical singularities

Extended solutions to include charged black holes in Einstein-Maxwell-dilaton theory

Abstract

Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a U(1)\times U(1) rotational symmetry. It is argued that for certain choices of parameters, the black holes are collinear and so may be regarded as a five-dimensional generalization of the Israel-Khan solution. The black holes are kept in equilibrium by membrane-like conical singularities along the two rotational axes; however, they still distort one another by their mutual gravitational attraction. We also generalize this solution to one describing multiple charged black holes, with fixed mass-to-charge ratio, in Einstein-Maxwell-dilaton theory.