Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity

Details Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity

2007-08-24

arxiv.org/abs/0708.3300v1

Int.J.Theor.Phys.48:1436-1448,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 18 pages, no figures

Scientific paper

10.1007/s10773-008-9914-8

Starting from a knowledge of certain identities in the Lagrangian description, the diffeomorphism transformations of metric and connection are obtained for both the second order (metric) and the first order (Palatini) formulations of gravity. The transformation laws of the connection and the metric are derived independently in the Palatini formulation in contrast to the metric formulation where the gauge variation of the connection is deduced from the gauge variation of the metric.

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