Gluing for the constraints for higher spin fields
General Relativity and Quantum Cosmology
2018-01-17 v1 Analysis of PDEs
Abstract
This short note is a follow-up on the paper by Beig and Chru\'sciel 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 B\"ackdahl, 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.
Cite
@article{arxiv.1704.01084,
title = {Gluing for the constraints for higher spin fields},
author = {Jérémie Joudioux},
journal= {arXiv preprint arXiv:1704.01084},
year = {2018}
}