Teleparallel origin of the Fierz picture for spin-2 particle

Yu. N. Obukhov, J. G. Pereira
2003 Physical Review D, Particles and fields  
A new approach to the description of spin-2 particle in flat and curved spacetime is developed on the basis of the teleparallel gravity theory. We show that such an approach is in fact a true and natural framework for the Fierz representation proposed recently by Novello and Neves. More specifically, we demonstrate how the teleparallel theory fixes uniquely the structure of the Fierz tensor, discover the transparent origin of the gauge symmetry of the spin 2 model, and derive the linearized
more » ... tein operator from the fundamental identity of the teleparallel gravity. In order to cope with the consistency problem on the curved spacetime, similarly to the usual Riemannian approach, one needs to include the non-minimal (torsion dependent) coupling terms.
doi:10.1103/physrevd.67.044008 fatcat:iegcnf4lunftlbpisy2tkhwdwa