A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity

Details A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity

2011-12-06

arxiv.org/abs/1112.1435v1

Physics

High Energy Physics

High Energy Physics - Theory

33 pages

Scientific paper

We identify different helicity degrees of freedom of Fierz-Paulian massive gravity around generic backgrounds. We show that the two-parameter family proposed by de Rham, Gabadadze, and Tolley always propagates five degrees of freedom and therefore is free from Boulware-Deser ghost. The analysis has a number of byproducts, among which, (a) It shows how the original decoupling limit construction ensures ghost freedom of the full theory. (b) Reveals an enhanced symmetry of the theory around linearized backgrounds. (c) Allows us to give an algorithm for finding dispersion relations. The proof naturally extends to generalizations of the theory with a reference metric different from Minkowski.

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