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arXiv · 1704.01084

Gluing for the constraints for higher spin fields

Jérémie Joudioux
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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.

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Jérémie Joudioux. 2017-04-04. Gluing for the constraints for higher spin fields. https://doi.org/10.1063/1.5001004

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