Abstract
Motivated by the current research of generalized symmetries and the construction of conserved charges in pure Einstein gravity linearized over Minkowski spacetime in Cartesian coordinates, we investigate, from a purely classical point of view, the construction of these charges in a coordinate- and frame-independent language in order to generalize them further. We show that all the charges constructed in that context are associated to the conformal Killing-Yano 2-forms of Minkowski spacetime. Furthermore, we prove that those associated to closed conformal Killing-Yano 2-forms are identical to the charges constructed by Kastor and Traschen for their dual Killing-Yano (d − 2)-forms. We discuss the number of independent and non-trivial gravitational charges that can be constructed in this way.
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Acknowledgments
P.M. and T.O. would like to thank Pablo Bueno for interesting conversations, for a preview of ref. [23] and for most valuable comments on a previous version of this paper. T.O. would like to thank Glenn Barnich for useful conversations and hospitality during his visit to ULB. This work has been supported in part by the MCI, AEI, FEDER (UE) grants PID2021-125700NB-C21 (“Gravity, Supergravity and Superstrings” (GRASS)), PID2021-123021NB-I00 and IFT Centro de Excelencia Severo Ochoa CEX2020-001007-S and by FICYT through the Asturian grant SV-PA-21-AYUD/2021/52177. The work of CG-F was supported by the MU grant FPU21/02222. TO wishes to thank M.M. Fernández for her permanent support.
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ArXiv ePrint: 2307.04041
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Gómez-Fayrén, C., Meessen, P. & Ortín, T. Covariant generalized conserved charges of General Relativity. J. High Energ. Phys. 2023, 174 (2023). https://doi.org/10.1007/JHEP09(2023)174
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DOI: https://doi.org/10.1007/JHEP09(2023)174