Superluminality in the Fierz–Pauli massive gravity

DOI10.1088/0264-9381/25/23/235006zbMATH Open1155.83355arXiv0805.1149OpenAlexW2086707668MaRDI QIDQ5302153

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Publication date: 6 January 2009

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0805.1149

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