Abstract
Abstract
We revisit and generalize a recent result of Cederbaum (Cederbaum in preparation; Cederbaum 2017 Oberwolfach Report) concerning the rigidity of the Schwarzschild manifold for spin manifolds. This includes the classical black hole uniqueness theorems (Bunting and Masood-ul-Alam 1987 Gen. Relativ. Gravit.
19 147; Gibbons, Ida and Shiromizu 2002 Phys. Rev. Lett.
89 041101; Hwang 1998 Geom. Dedicata
71 5) as well as the more recent uniqueness theorems for photon spheres (Cederbaum 2015 Contemp. Math.
667 86; Cederbaum and Galloway 2017 Commun. Anal. Geom.
25 303; Cederbaum and Fehrenbach personal communication).
Subject
Physics and Astronomy (miscellaneous)
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