Rotating and swirling binary black hole system balanced by its gravitational spin-spin interaction

Abstract

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and back-reacting rotating tidal drag. The gravitational attraction is balanced by the repulsive gravitational spin-spin interaction generated by the interplay between black holes angular momenta and the rotational background. The new solution is built by embedding the double Kerr metric into a swirling universe by means of the Ehlers transformation. The geometry is completely regular outside the event horizons. Thermodynamic properties of the binary black hole system are studied, the Smarr law, the first law and the Christodoulou-Ruffini formulas are verified. Microscopic degrees of freedom of the entropy are computed from the dual CFT living on the boundary of the near horizon geometries.

v3: 26 pages, 7 figures, final version published in PRD

References in corpus (20)

• The Kerr/CFT Correspondence
• Near-horizon symmetries of extremal black holes
• CFT Duals for Extreme Black Holes
• Black diholes
• Global structure of the Zipoy-Voorhees-Weyl spacetime and the delta=2 Tomimatsu-Sato spacetime
• Macroscopic and Microscopic Description of Black Diholes
• CFT Duals for Accelerating Black Holes
• From p-branes to fluxbranes and back
• Magnetised Kerr/CFT correspondence
• On the interaction between two Kerr black holes
• Black holes in a swirling universe
• Microscopic Entropy of the Magnetised Extremal Reissner-Nordstrom Black Hole
• Plebanski-Demianski goes NUTs (to remove the Misner string)
• Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
• Exact solution for the simplest binary system of Kerr black holes
• Binary black hole system at equilibrium
• Removal of conical singularities from rotating C-metrics and dual CFT entropy
• Twisting shadows: Light rings, lensing and shadows of black holes in swirling universes
• Two Schwarzschild-like black holes balanced by their scalar hair
• Multi-centered black holes with a negative cosmological constant