In this talk, I will review the application of Noether theorem to general relativity and the covariant phase space techniques to construct Noether charges and fluxes on spacetime boundaries. In particular, I will detail the Wald-Zoupas procedure and focus on the physical interpretation. I will show that the implementation of the procedure implies that the algebra of local Noether currents is free of cocycle. Then, I will focus on non-trivial examples at null infinity. I will implement the Wald-Zoupas procedure for BMS and eBMS boundary conditions, and argue that it cannot be implemented successfully for generalized BMS fall-off conditions but for a symmetry group preserving different fall off conditions isomorphic to gBMS with a different algebra.
Antoine Rignon-Bret (Aix-Marseille): Covariant charges and fluxes at null infinity
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