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Spinning Black Binaries in de Sitter space
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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).
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Soliton methods and the black hole balance problem
A review of soliton-method results: stationary two-black-hole vacuum equilibria do not exist, and the Kerr family is the unique single stationary vacuum black hole.
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