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gr-qcSep 1, 2003
20
citations (OpenAlex)
authors
  • Piotr T. Chrusciel
  • Erwann Delay
arXiv abstractPDF
paper

Manifold structures for sets of solutions of the general relativistic constraint equations

arXiv:gr-qc/0309001 · doi:10.1016/j.geomphys.2003.12.002

Abstract

We construct manifold structures on various sets of solutions of the general relativistic initial data sets.

latex2e, 32 A4 pages, minor corrections

References in corpus (3)

  • Killing Initial Data
  • Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds
  • On the Asymptotics for the Vacuum Einstein Constraint Equations

Cited by in corpus (8)

  • KIDs are non-generic
  • Construction of N-body initial data sets in general relativity
  • Embeddings, immersions and the Bartnik quasi-local mass conjectures
  • Long time existence from interior gluing
  • Anti-gravity à la Carlotto-Schoen
  • Mathematical general relativity: a sampler
  • Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
  • Hilbert Manifold Structure of The Set of Solutions of Constraint Equations For Coupled Einstein and Scalar Fields
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