Gluing for the constraints for higher spin fields
arXiv:1704.01084 · doi:10.1063/1.5001004
Abstract
This short note is a follow-up on the paper by Beig and Chruściel regarding the use of potentials to perform a 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 for solutions to the constraints for higher spin fields.