Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 27, Issue 14, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/27/14/145007
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- FAPESP
- CNPq
- CAPES
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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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