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Horizon area–angular momentum inequality in higher-dimensional spacetimes

Horizon area–angular momentum inequality in higher-dimensional spacetimes

We consider n-dimensional spacetimes which are axisymmetric—but not necessarily stationary—in the sense of having isometry group U(1)n − 3 and which satisfy the Einstein equations with a non-negative cosmological constant. We show that any black hole horizon must have area , where J± are distinguished components of the angular momentum …