Nonlinear Properties of Vielbein Massive Gravity

Details Nonlinear Properties of Vielbein Massive Gravity Nonlinear Properties of Vielbein Massive Gravity

2006-10-15

arxiv.org/abs/hep-th/0610169v2

Eur.Phys.J.C51:741-752,2007

Physics

High Energy Physics

High Energy Physics - Theory

23+1 pages LaTeX, 3 figures, few typos corrected

Scientific paper

10.1140/epjc/s10052-007-0311-x

We propose a non-linear extension of the Fierz-Pauli mass for the graviton through a functional of the vielbein and an external Minkowski background. The functional generalizes the notion of the measure, since it reduces to a cosmological constant if the external background is formally sent to zero. Such a term and the explicit external background, emerge dynamically from a bi--gravity theory, having both a massless and a massive graviton in its spectrum, in a specific limit in which the massless mode decouples, while the massive one couples universally to matter. We investigate the massive theory using the Stueckelberg method and providing a 't Hooft-Feynman gauge fixing in which the tensor, vector and scalar Stueckelberg fields decouple. We show that this model has the softest possible ultraviolet behavior which can be expected from any generic (Lorentz invariant) theory of massive gravity, namely that it becomes strong only at the scale Lambda_3 = (m_g^2 M_P)^{1/3}.

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