# Multi - black hole solutions in five-dimensions

@article{Tan2003MultiB,
title={Multi - black hole solutions in five-dimensions},
author={Hai Siong Tan and Edward Teo},
journal={Physical Review D},
year={2003},
volume={68},
pages={044021}
}
• Published 5 June 2003
• Physics
• Physical Review D
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 $U(1)\ifmmode\times\else\texttimes\fi{}U(1)$ 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…
22 Citations

## Figures from this paper

• Physics
• 2008
Using the inverse scattering method we construct a six-parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)2 rotational
• Physics
• 2011
Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive two exact solutions of the Einstein-Maxwell-Dilaton field equations in five dimensions.
• Mathematics, Physics
• 2011
Using a solution-generating method, we derive an exact solution of the Einstein's field equations in five dimensions describing multi-black hole configurations. More specifically, this solution
• Physics
• 2013
We construct a new exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions, which describes a system of two general charged and static black holes sitting at the two turning
• Physics
• 2008
We construct new charged static solutions of the Einstein-Maxwell field equations in five dimensions via a solution generation technique utilizing the symmetries of the reduced Lagrangian. By
• Physics
• 2011
Using a solution generating technique based on the symmetries of the dimensionally reduced Lagrangian we derive an exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions
• Physics
• 2009
Using the inverse scattering method we construct a six‐parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)2 rotational
We present new self-gravitating solutions in five dimensions that describe circular strings, i.e. rings, electrically coupled to a two-form potential (as e.g. fundamental strings do), or to a dual
• Physics, Mathematics
• 2010
We present numerical evidence for the existence of several types of static black hole solutions with a nonspherical event horizon topology in d ≥ 6 spacetime dimensions. These asymptotically flat
• Physics
• 2005
We construct and analyze a large class of exact five- and six-dimensional regular and static solutions of the vacuum Einstein equations. These solutions describe sequences of Kaluza-Klein bubbles and