Consistent Gravitationally-Coupled Spin-2 Field Theory
Abstract
Inspired by the translational gauge structure of teleparallel gravity, the theory for a fundamental massless spin-2 field is constructed. Accordingly, instead of being represented by a symmetric second-rank tensor, the fundamental spin-2 field is assumed to be represented by a spacetime (world) vector field assuming values in the Lie algebra of the translation group. The flat-space theory naturally emerges in the Fierz formalism and is found to be equivalent to the usual metric-based theory. However, the gravitationally coupled theory, with gravitation itself described by teleparallel gravity, is shown not to present the consistency problems of the spin-2 theory constructed on the basis of general relativity.
Keywords
Cite
@article{arxiv.1001.3407,
title = {Consistent Gravitationally-Coupled Spin-2 Field Theory},
author = {H. I. Arcos and Tiago Gribl Lucas and J. G. Pereira},
journal= {arXiv preprint arXiv:1001.3407},
year = {2013}
}
Comments
16 pages, no figures. V2: Presentation changes, including addition of a new sub-section, aiming at clarifying the text; version accepted for publication in Class. Quantum Grav.