Superluminality in the Fierz--Pauli massive gravity

Details Superluminality in the Fierz--Pauli massive gravity Superluminality in the Fierz--Pauli massive gravity

2008-05-08

arxiv.org/abs/0805.1149v1

Class.Quant.Grav.25:235006,2008

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures

Scientific paper

10.1088/0264-9381/25/23/235006

We study the propagation of helicity-1 gravitons in the Fierz--Pauli massive gravity in nearly Minkowski backgrounds. We show that, generically, there exist backgrounds consistent with field equations, in which the propagation is superluminal. The relevant distances are much longer than the ultraviolet cutoff length inherent in the Fierz--Pauli gravity, so superluminality occurs within the domain of validity of the effective low energy theory. There remains a possibility that one may get rid of this property by imposing fine tuning relations between the coefficients in the non-linear generalization of the Fierz--Pauli mass term, order by order in non-linearity; however, these relations are not protected by any obvious symmetry. Thus, among others, superluminality is a problematic property to worry about when attempting to construct infrared modifications of General Relativity.

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