Binary black hole system at equilibrium

Understand

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented.

• The metric is completely regular outside the event horizons, both from curvature and conical singularities.
• The balance between the two Schwarzschild sources is granted by an external gravitational field, without the need of extra matter fields besides gravity, nor strings or struts.
• The geometry of the solution is analysed.