A positive mass theorem for Lipschitz metrics with small singular sets

DOI10.1090/S0002-9939-2013-11871-XzbMath1276.53044arXiv1110.6485OpenAlexW1983022712MaRDI QIDQ2846927

Dan A. Lee

Publication date: 4 September 2013

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

Full work available at URL: https://arxiv.org/abs/1110.6485

zbMATH Keywords

asymptotically flatsingular setbounded \(C^2\)-norm

Mathematics Subject Classification ID

General relativity (83C99) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Removable singularity of positive mass theorem with continuous metrics ⋮ Scalar curvature and singular metrics ⋮ A positive mass theorem for manifolds with boundary ⋮ Positive scalar curvature with skeleton singularities ⋮ The Yamabe problem for distributional curvature ⋮ Capacity, quasi-local mass, and singular fill-ins ⋮ Dirac and Plateau billiards in domains with corners ⋮ Scalar curvature and the relative capacity of geodesic balls ⋮ Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature ⋮ The positive mass theorem for manifolds with distributional curvature

Cites Work

• On the positive mass theorem for manifolds with corners
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
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