The homotopy momentum map of general relativity

Fuente: arXiv
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Auteur principal: Blohmann, Christian
Format: Preprint
Publié: 2021
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author Blohmann, Christian
author_facet Blohmann, Christian
contents We show that the action of spacetime vector fields on the variational bicomplex of general relativity has a homotopy momentum map that extends the map from vector fields to conserved currents given by Noether's first theorem to a morphism of $L_\infty$-algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2103_07670
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle The homotopy momentum map of general relativity
Blohmann, Christian
Symplectic Geometry
Mathematical Physics
Differential Geometry
53D20, 18N40, 37K06, 83C05
We show that the action of spacetime vector fields on the variational bicomplex of general relativity has a homotopy momentum map that extends the map from vector fields to conserved currents given by Noether's first theorem to a morphism of $L_\infty$-algebras.
title The homotopy momentum map of general relativity
topic Symplectic Geometry
Mathematical Physics
Differential Geometry
53D20, 18N40, 37K06, 83C05
url https://arxiv.org/abs/2103.07670