A NOTE ON GAUGE COVARIANT TRANSLATIONS IN THE GAUGE APPROACH TO GRAVITY

Authors
Citation
F. Gronwald, A NOTE ON GAUGE COVARIANT TRANSLATIONS IN THE GAUGE APPROACH TO GRAVITY, ACT PHY P B, 29(4), 1998, pp. 1121-1129
Citations number
23
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
29
Issue
4
Year of publication
1998
Pages
1121 - 1129
Database
ISI
SICI code
0587-4254(1998)29:4<1121:ANOGCT>2.0.ZU;2-L
Abstract
We point out sat in the gauge approach to gravity it is not always pos sible to reduce translation invariance to diffeomorphism invariance. I t is argued that a proper generator of translations on the spacetime m anifold is given by a gauge covariant Lie derivative. A reduction to d iffeomorphism invariance is obtained if the gauging of the translation group does not involve homogeneous frame transformations. Possible co nsequences are shortly discussed.