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arXiv · 1001.3407

Consistent Gravitationally-Coupled Spin-2 Field Theory

H. I. Arcos·Tiago Gribl Lucas·J. G. Pereira
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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.

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H. I. Arcos, Tiago Gribl Lucas, J. G. Pereira. 2010-05-05. Consistent Gravitationally-Coupled Spin-2 Field Theory. https://doi.org/10.1088/0264-9381%2F27%2F14%2F145007

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