Black di-ring and infinite nonuniqueness

Jan, 2007
15 pages
Published in:
  • Phys.Rev.D 75 (2007) 064018,
  • Phys.Rev.D 78 (2008) 069903 (erratum)
e-Print:

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Abstract: (arXiv)
We show that the S1S^1-rotating black rings can be superposed by the solution generating technique. We analyze the black diring solution for the simplest case of multiple rings. There exists an equilibrium black diring where the conical singularities are cured by the suitable choice of physical parameters. Also there are infinite numbers of black dirings with the same mass and angular momentum. These dirings can have two different continuous limits of single black rings. Therefore we can transform the fat black ring to the thin ring with the same mass and angular momentum by way of the diring solutions.
Note:
  • 15 pages, 4 figures; Corrected the mass parameter and fig 4
  • 04.70.Bw
  • 04.50.+h
  • 04.20.Jb
  • 04.20.Dw
  • general relativity
  • dimension: 5
  • Einstein equation: solution
  • boundary condition
  • black ring
  • numerical calculations