Conserved currents in the Palatini formulation of general relativity
General Relativity and Quantum Cosmology
2020-08-21 v1 High Energy Physics - Theory
Abstract
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.
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Cite
@article{arxiv.2004.15002,
title = {Conserved currents in the Palatini formulation of general relativity},
author = {Glenn Barnich and Pujian Mao and Romain Ruzziconi},
journal= {arXiv preprint arXiv:2004.15002},
year = {2020}
}
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12 Pages