Construction of \(N\)-body initial data sets in general relativity

DOI10.1007/s00220-011-1244-7zbMath1216.83010arXiv1004.1355OpenAlexW2093373780MaRDI QIDQ543378

Justin Corvino, Piotr T. Chrusciel, James A. Isenberg

Publication date: 17 June 2011

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

Full work available at URL: https://arxiv.org/abs/1004.1355

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (11)

The general relativistic constraint equations ⋮ Localizing solutions of the Einstein constraint equations ⋮ Long time existence from interior gluing ⋮ 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 ⋮ Smooth Compactly Supported Solutions of Some Underdetermined Elliptic PDE, with Gluing Applications ⋮ Numerical initial data deformation exploiting a gluing construction: I. Exterior asymptotic Schwarzschild ⋮ Specifying angular momentum and center of mass for vacuum initial data sets ⋮ Localized deformation for initial data sets with the dominant energy condition ⋮ Black-hole lattices as cosmological models ⋮ Positive energy theorems in fourth-order gravity

Cites Work

• Manifold structures for sets of solutions of the general relativistic constraint equations
• On the asymptotics for the vacuum Einstein constraint equations
• Killing initial data
• Existence of non-trivial, vacuum, asymptotically simple spacetimes
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
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