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Covariant generalized conserved charges of General Relativity

Carmen Gómez-Fayrén
(
- Madrid, IFT
)
,
Patrick Meessen
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
Tomás Ortín
(
- Madrid, IFT
)

Jul 8, 2023

27 pages

Published in:

JHEP 09 (2023) 174

Published: Sep 26, 2023

e-Print:

2307.04041 [gr-qc]

DOI:

10.1007/JHEP09(2023)174

Report number:

IFT-UAM/CSIC-23-076

View in:

ADS Abstract Service

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Abstract: (Springer)

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.

Note:

References added and some typos corrected. Version to be published in JHEP

Classical Theories of Gravity
Space-Time Symmetries
space-time: Minkowski
charge: conservation law
gravitation: charge
gravitation: linear
Killing-Yano
conformal
duality
general relativity

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Figures(0)

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