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2020

Conserved currents in the Palatini formulation of general relativity

Barnich, Glenn, Mao, Pujian, Ruzziconi, Romain

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We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Palatini formulation of general relativity and explicitly show their on-shell equivalence to those of the metric formulation.

When compared to other first order formulations, two subtleties have to be addressed during the construction: off-shell non-metricity and the fact that the transformation of the connection under infinitesimal diffeomorphisms involves second order derivatives of the associated vector fields.

Conserved currents in the Palatini formulation of general relativity · Around

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