Black diholes in five-dimensions

Jul, 2003
21 pages
Published in:
  • Phys.Rev.D 68 (2003) 084003
e-Print:

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Abstract:
Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form gauge field. This procedure is then used to obtain new solutions of the latter theory describing pairs of extremal magnetic black holes with opposite charges, known as black diholes. These diholes are kept in static equilibrium by membrane-like conical singularities stretching along two different directions. We also present solutions describing diholes suspended in a background magnetic field, and with unbalanced charges.
  • 04.70.Bw
  • 04.40.Nr
  • 04.20.Jb
  • space-time
  • dimension: 5
  • Einstein equation: solution
  • symmetry: axial
  • black hole: pair
  • field theory: tensor
  • differential forms