The seed-to-solution method for the Einstein constraints and the asymptotic localization problem
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Publication:6175753
DOI10.1016/j.jfa.2023.110106arXiv1903.00243OpenAlexW4385336440MaRDI QIDQ6175753
Philippe G. LeFloch, The-Cang Nguyen
Publication date: 18 August 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00243
Partial differential equations on manifolds; differential operators (58Jxx) Global differential geometry (53Cxx) General relativity (83Cxx)
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Cites Work
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- Localizing solutions of the Einstein constraint equations
- 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
- Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
- On elliptic systems in \(R^ n\)
- Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
- Deformations of the scalar curvature
- On the proof of the positive mass conjecture in general relativity
- A new proof of the positive energy theorem.
- Exotic hyperbolic gluings
- Yamabe classification and prescribed scalar curvature in the asymptotically Euclidean setting
- Localized deformation for initial data sets with the dominant energy condition
- On the asymptotics for the vacuum Einstein constraint equations
- Stability of the Einstein-Lichnerowicz constraint system
- Asymptotic gluing of shear-free hyperboloidal initial data sets
- Interior estimates for elliptic systems of partial differential equations
- The mass of an asymptotically flat manifold
- GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA: (I) THE INITIAL DATA CONSTRAINTS
- On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
- Linearization stability of the Einstein equations
- Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem
- ROUGH SOLUTIONS OF THE EINSTEIN CONSTRAINT EQUATIONS ON COMPACT MANIFOLDS
- The conformal method and the conformal thin-sandwich method are the same
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
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