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.

27 pages, typos fixed

References in corpus (2)

• Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
• A Lie-Rinehart algebra in general relativity

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