The homotopy momentum map of general relativity

Abstract

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.

arXiv comment27 pages, typos fixed

References in corpus (7)

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• L-infinity algebras from multisymplectic geometry
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• Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
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Cited by in corpus (4)

• Momentum section on Courant algebroid and constrained Hamiltonian mechanics
• A Lie-Rinehart algebra in general relativity
• Multisymplectic observable reduction using constraint triples
• Transformations of Currents in Sigma-Models with Target Space Supersymmetry