Conserved currents in the Palatini formulation of general relativity

Glenn Barnich; Pujian Mao; Romain Ruzziconi

Conserved currents in the Palatini formulation of general relativity

Glenn Barnich
, Pujian Mao
, Romain Ruzziconi

International Solvay Institutes
Tianjin University

Résultats de recherche: Contribution à un journal › Article de conférence › Revue par des pairs

2 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Numéro d'article	171
journal	Proceedings of Science
Volume	376
état	Publié - 1 janv. 2019
Modification externe	Oui
Evénement	2019 Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2019 - Corfu, Grcce Durée: 31 août 2019 → 25 sept. 2019

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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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AU - Mao, Pujian

AU - Ruzziconi, Romain

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N2 - 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.

AB - 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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M3 - Conference article

AN - SCOPUS:85091651284

SN - 1824-8039

VL - 376

JO - Proceedings of Science

JF - Proceedings of Science

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T2 - 2019 Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2019

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Conserved currents in the Palatini formulation of general relativity

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