Chiral gravity as a covariant formulation of massive gravity

Details Chiral gravity as a covariant formulation of massive gravity Chiral gravity as a covariant formulation of massive gravity

2004-11-22

arxiv.org/abs/hep-th/0411184v2

Class.Quant.Grav.22:1313-1328,2005

Physics

High Energy Physics

High Energy Physics - Theory

1+16 pages LaTeX, typos corrected, and some references added

Scientific paper

10.1088/0264-9381/22/7/008

We present a covariant nonlinear completion of the Fierz-Pauli (FP) mass term for the graviton. The starting observation is that the FP mass is immediately obtained by expanding the cosmological constant term, i.e. the determinant of the vielbein, around Minkowski space to second order in the vielbein perturbations. Since this is an unstable expansion in the standard case, we consider an extended theory of gravity which describes two vielbeins that give rise to chiral spin--connections (consequently, fermions of a definite chirality only couple to one of the gravitational sectors). As for Einstein gravity with a cosmological constant, a single fine-tuning is needed to recover a Minkowski background; the two sectors then differ only by a constant conformal factor. The spectrum of this theory consists of a massless and a massive graviton, with FP mass term. The theory possesses interesting limits in which only the massive graviton is coupled to matter at the linearized level.

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