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Uniqueness of de Sitter and Schwarzschild-de Sitter spacetimes

Uniqueness of de Sitter and Schwarzschild-de Sitter spacetimes

We give a simple proof of the uniqueness of de Sitter and Schwarzschild-de Sitter spacetime without assuming extra conditions on the conformal boundary at infinity.Such spacetimes are the only solutions in the static class satisfying Einstein equations 4 R αβ = Λ 4 g αβ , where the cosmological constant …