Consistent Gravitationally-Coupled Spin-2 Field Theory

Details Consistent Gravitationally-Coupled Spin-2 Field Theory Consistent Gravitationally-Coupled Spin-2 Field Theory

2010-01-19

arxiv.org/abs/1001.3407v2

Class. Quantum Grav. 27 (2010) 145007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures. V2: Presentation changes, including addition of a new sub-section, aiming at clarifying the text; versio

Scientific paper

10.1088/0264-9381/27/14/145007

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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