Density and positive mass theorems for initial data sets with boundary

DOI10.1007/s00220-022-04439-1OpenAlexW4288724883WikidataQ113906012 ScholiaQ113906012MaRDI QIDQ2676450

Dan A. Lee, Ryan Unger, Martin Lesourd

Publication date: 27 September 2022

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

Full work available at URL: https://arxiv.org/abs/2112.12017

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Kaluza-Klein and other higher-dimensional theories (83E15) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Density theorems (11R45) Propagation of singularities; initial value problems on manifolds (58J47) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (2)

Noncompact fill-ins of Bartnik data ⋮ Density and positive mass theorems for incomplete manifolds

Cites Work

• Localizing solutions of the Einstein constraint equations
• Blowup of Jang's equation at outermost marginally trapped surfaces
• On the Riemannian Penrose inequality in dimensions less than eight
• Functional analysis, Sobolev spaces and partial differential equations
• The area of horizons and the trapped region
• On the structure of manifolds with positive scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• Scalar curvature and hammocks
• The positive mass theorem for black holes revisited
• \(\lambda\) minimizing currents
• A new proof of the positive energy theorem.
• Solutions of the Einstein constraint equations with apparent horizon boundaries
• The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight
• The energy and the linear momentum of space-times in general relativity
• Equality in the spacetime positive mass theorem
• A note on the positive mass theorem with boundary
• The Plateau problem for marginally outer trapped surfaces
• Localized deformation for initial data sets with the dominant energy condition
• On the asymptotics for the vacuum Einstein constraint equations
• Rigidity of stable minimal hypersurfaces in asymptotically flat spaces
• The spacetime positive mass theorem in dimensions less than eight
• Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions
• The mass of an asymptotically flat manifold
• The Yamabe problem
• Some regularity theorems in riemannian geometry
• On  many-black-hole  vacuum spacetimes
• Static potentials and area minimizing hypersurfaces
• Scalar Curvature and the Einstein Constraint Equations
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• Black hole gluing in de Sitter space
• Linearization stability of the Einstein equations
• Geometric Relativity
• Killing vectors in asymptotically flat space–times. I. Asymptotically translational Killing vectors and the rigid positive energy theorem
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Density and positive mass theorems for initial data sets with boundary