A new type of gauge invariance for a collection of massless spin-2 fields. I. Existence and uniqueness
- 1 September 1987
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 4 (5) , 1267-1278
- https://doi.org/10.1088/0264-9381/4/5/024
Abstract
It has been shown that the most general type of gauge invariance for a single massless spin-2 field is either 'normal' spin-2 gauge invariance or general covariance. The authors extend that analysis to the case of a collection of spin-2 fields. They obtain the general solution of the integrability condition which determines whether a given candidate infinitesimal symmetry arises from an exact symmetry. This general solution is a new type of gauge invariance involving associative commutative algebras in a manner analogous to the way gauge symmetries of collections of spin-1 fields are based on Lie algebras.Keywords
This publication has 3 references indexed in Scilit:
- A new type of gauge invariance for a collection of massless spin-2 fields. II. Geometrical interpretationClassical and Quantum Gravity, 1987
- Spin-two fields and general covariancePhysical Review D, 1986
- Interacting field of spin 2 and the einstein equationsAnnals of Physics, 1965