• DOI:10.1103/PhysRevD.68.044021
• Corpus ID: 18381508

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}
}

• H. Tan, Edward Teo
• 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 in equilibrium by membranelike 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.