Gluing for the constraints for higher spin fields

Jeremie Joudioux

Publications: Contribution to journalArticlePeer Reviewed

Abstract

This note is a follow-up on the paper by Beig and Chruciel regarding the use of potentials to perform gluing and shielding of initial data for Maxwell fields and linearised gravity. Based on a work in collaboration with Andersson and Bäckdahl, this gluing and shielding procedure is generalised to higher spin fields. The approach is based on a generalisation of the de Rham complex to higher spin fields providing a parametrization of the set of constraints, as well as standard elliptic theory to prove the existence of a potential.

Original languageEnglish
Article number111513
Number of pages10
JournalJournal of Mathematical Physics
Volume58
Issue number11
DOIs
Publication statusPublished - Nov 2017

Austrian Fields of Science 2012

  • 101002 Analysis
  • 103028 Theory of relativity

Keywords

  • ASYMPTOTIC PROPERTIES
  • EQUATIONS
  • SPACE
  • MASS

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