Gluing for the constraints for higher spin fields
| Autor: | Jérémie Joudioux |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Work (thermodynamics) Gravity (chemistry) 010308 nuclear & particles physics 010102 general mathematics 83C60 58J10 Statistical and Nonlinear Physics 01 natural sciences General Relativity and Quantum Cosmology Set (abstract data type) Theoretical physics Mathematics - Analysis of PDEs 0103 physical sciences Electromagnetic shielding 0101 mathematics Parametrization Mathematical Physics Spin-½ |
| Zdroj: | Journal of Mathematical Physics. 58:111513 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.5001004 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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