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arXiv · hep-th/0306044

Multi-black hole solutions in five dimensions

H. S. Tan·Edward Teo
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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.

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H. S. Tan, Edward Teo. 2003-06-05. Multi-black hole solutions in five dimensions. https://doi.org/10.1103/physrevd.68.044021

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