  We construct stationary, rotating black binaries in general relativity with a
positive cosmological constant. We consider identical black holes with either
aligned or anti-aligned spins. Both cases have less entropy than the
corresponding single Kerr/Schwarzschild de Sitter black hole with the same
total angular momentum and cosmological horizon entropy. Our solutions
establish continuous non-uniqueness in general relativity without matter. They
also provide initial data for the spinning binary merger problem (when orbital
angular momentum is added).
