Some rigidity results for compact initial data sets

DOI10.1090/TRAN/9079zbMATH Open1544.53053MaRDI QIDQ6567126

Abraão Mendes, Gregory J. Galloway

Publication date: 4 July 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

marginally outer trapped surfacesinitial data sets

Mathematics Subject Classification ID

Rigidity results (53C24)

Cites Work

• Existence, regularity, and properties of generalized apparent horizons
• Rigidity of area-minimizing two-spheres in three-manifolds
• A generalization of Hawking's black hole topology theorem to higher dimensions
• Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
• The area of horizons and the trapped region
• The classification of simply connected manifolds of positive scalar curvature
• Rigidity of outermost MOTS: the initial data version
• Rigidity of marginally outer trapped \(2\)-spheres
• Embedded flat tori in the unit 3-sphere
• Initial data rigidity results
• The Plateau problem for marginally outer trapped surfaces
• Some uniqueness results for dynamical horizons
• The spacetime positive mass theorem in dimensions less than eight
• Density and positive mass theorems for initial data sets with boundary
• Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary
• Rigidity of marginally outer trapped (hyper)surfaces with negative 𝜎-constant
• Geometric Relativity

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