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

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

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.

Original language	English
Article number	171
Journal	Proceedings of Science
Volume	376
Publication status	Published - 1 Jan 2019
Externally published	Yes
Event	2019 Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2019 - Corfu, Greece Duration: 31 Aug 2019 → 25 Sept 2019

Cite this

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AU - Barnich, Glenn

AU - Mao, Pujian

AU - Ruzziconi, Romain

PY - 2019/1/1

Y1 - 2019/1/1

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.

UR - https://www.scopus.com/pages/publications/85091651284

M3 - Conference article

AN - SCOPUS:85091651284

SN - 1824-8039

VL - 376

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 171

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

Y2 - 31 August 2019 through 25 September 2019

ER -

Conserved currents in the Palatini formulation of general relativity

Abstract

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