Static equilibrium of multi–black holes in expanding bubbles in five dimensions

Mar 25, 2024
18 pages
Published in:
  • Phys.Rev.D 109 (2024) 10, 104067
  • Published: May 15, 2024
e-Print:
DOI:
Report number:
  • TTI-MATHPHYS-26

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Abstract: (APS)
We investigate possible configurations for vacuum multiblack holes that maintain static equilibrium in expanding bubbles. Our analysis assumes a five-dimensional Weyl metric to describe the spacetime, facilitating the derivation of solutions based on the provided rod structure. We consider a spacetime having expanding bubbles caused by one or two acceleration horizons, and show that various configurations such as two bubbles, four bubbles devoid of horizons, a black saturn, a black di-ring, a bicycling black ring (orthogonal black di-ring), and a five-dimensional black hole binary can achieve equilibrium within expanding bubbles. Specifically, we demonstrate that equilibrium requires two acceleration horizons on both sides for the bicycling ring and the five-dimensional black hole binary. However, only one acceleration horizon is necessary for achieving equilibrium in the case of the black saturn and the black di-ring.
Note:
  • 18 pages, 10 figures
  • dimension: 5
  • black hole: binary
  • bubble
  • horizon
  • acceleration
  • space-time
  • Weyl
  • black ring