Initial data rigidity results

DOI10.1007/s00220-021-04033-xzbMath1481.53047arXiv2009.09527OpenAlexW3087569982WikidataQ126014893 ScholiaQ126014893MaRDI QIDQ2042362

Gregory J. Galloway, Michael Eichmair, Abraão Mendes

Publication date: 29 July 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09527

zbMATH Keywords

Minkowski spacepositive mass theoremdominant energy conditionADM energy-momentum vectorlocal energy densitylocal current density

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Rigidity of free boundary MOTS ⋮ Doubling of asymptotically flat half-spaces and the Riemannian Penrose inequality ⋮ Rigidity results for complete manifolds with nonnegative scalar curvature ⋮ Remarks on the size of apparent horizons ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ The positive energy theorem for asymptotically hyperboloidal initial data sets with toroidal infinity and related rigidity results ⋮ Positive mass theorems for asymptotically hyperbolic Riemannian manifolds with boundary

Cites Work

• Jenkins-Serrin-type results for the Jang equation
• Existence, regularity, and properties of generalized apparent horizons
• 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
• A warped product splitting theorem
• Rigidity of outermost MOTS: the initial data version
• Equality in the spacetime positive mass theorem
• The Plateau problem for marginally outer trapped surfaces
• Rigidity and positivity of mass for asymptotically hyperbolic manifolds
• Some uniqueness results for dynamical horizons
• The spacetime positive mass theorem in dimensions less than eight
• Jang's equation and its applications to marginally trapped surfaces
• Some remarks on the size of bodies and black holes
• Some scalar curvature warped product splitting theorems
• Rigidity of marginally outer trapped (hyper)surfaces with negative 𝜎-constant
• Geometric Relativity
• Riemannian Geometry
• Regularity of horizons and the area theorem

This page was built for publication: Initial data rigidity results