Localized deformation for initial data sets with the dominant energy condition
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Publication:2293306
DOI10.1007/s00526-019-1679-9zbMath1443.53021arXiv1606.03078OpenAlexW3103921823MaRDI QIDQ2293306
Justin Corvino, Lan-Hsuan Huang
Publication date: 7 February 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.03078
General relativity (83C99) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (10)
The general relativistic constraint equations ⋮ Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ Equality in the spacetime positive mass theorem ⋮ Density and positive mass theorems for initial data sets with boundary ⋮ The seed-to-solution method for the Einstein constraints and the asymptotic localization problem ⋮ Multi-localized time-symmetric initial data for the Einstein vacuum equations ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Static potentials and area minimizing hypersurfaces ⋮ A note on the positive mass theorem with boundary ⋮ Geometric inequalities for quasi-local masses
Cites Work
- Deformation of scalar curvature and volume
- Construction of \(N\)-body initial data sets in general relativity
- Localized gluing of Riemannian metrics in interpolating their scalar curvature
- Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics
- Specifying angular momentum and center of mass for vacuum initial data sets
- Proof of the positive mass theorem. II
- Deformations of the scalar curvature
- On the proof of the positive mass conjecture in general relativity
- On the topology of vacuum spacetimes
- Equality in the spacetime positive mass theorem
- On the asymptotics for the vacuum Einstein constraint equations
- Initial data engineering
- The spacetime positive mass theorem in dimensions less than eight
- Interior estimates for elliptic systems of partial differential equations
- The mass of an asymptotically flat manifold
- Spacetime symmetries and linearization stability of the Einstein equations. I
- On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
- Linearization stability of the Einstein equations
- On the center of mass of isolated systems
- On the center of mass of isolated systems with general asymptotics
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
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