Gluing variations

Piotr T. Chruściel, Wan Cong (Corresponding author)

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We establish several results on gluing/embedding/extending geometric structures in vacuum spacetimes with a cosmological constant in any spacetime dimensions d ⩾ 4 , with emphasis on characteristic data. A useful tool is provided by the notion of submanifold-data of order k. As an application of our methods we prove that vacuum Cauchy data on a spacelike Cauchy surface with boundary can always be extended to vacuum data defined beyond the boundary.
Original languageEnglish
Article number165009
Number of pages36
JournalClassical and Quantum Gravity
Volume40
Issue number16
DOIs
Publication statusPublished - 31 Aug 2023

Austrian Fields of Science 2012

  • 103028 Theory of relativity
  • 103019 Mathematical physics

Keywords

  • characteristic cauchy problem
  • mathematical relativity
  • relativity
  • spacetime gluing

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