Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity
High Energy Physics - Theory
2009-06-10 v1 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.0708.3300,
title = {Diffeomorphism Symmetry in the Lagrangian Formulation of Gravity},
author = {Saurav Samanta},
journal= {arXiv preprint arXiv:0708.3300},
year = {2009}
}
Comments
LaTex, 18 pages, no figures