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arXiv · 2009.09652

A spinorial proof of the rigidity of the Riemannian Schwarzschild manifold

Simon Raulot
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Abstract

We revisit and generalize a recent result of Cederbaum [C2, C3] concerning the rigidity of the Schwarzschild manifold for spin manifolds. This includes the classical black hole uniqueness theorems [BM, GIS, Hw] as well as the more recent uniqueness theorems for pho-ton spheres [C1, CG1, CG2].

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Simon Raulot. 2020-09-21. A spinorial proof of the rigidity of the Riemannian Schwarzschild manifold. https://doi.org/10.1088/1361-6382%2Fabe4ec

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