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arXiv · 1203.4268

Massive Gravity Theories and limits of Ghost-free Bigravity models

Miguel F. Paulos·Andrew J. Tolley
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Abstract

We construct a class of theories which extend New Massive Gravity to higher orders in curvature in any dimension. The lagrangians arise as limits of a new class of bimetric theories of Lovelock gravity, which are unitary theories free from the Boulware-Deser ghost. These Lovelock bigravity models represent the most general non-chiral ghost-free theories of an interacting massless and massive spin-two field in any dimension. The scaling limit is taken in such a way that unitarity is explicitly broken, but the Boulware-Deser ghost remains absent. This automatically implies the existence of a holographic $c$-theorem for these theories. We also show that the Born-Infeld extension of New Massive Gravity falls into our class of models demonstrating that this theory is also free of the Boulware-Deser ghost. These results extend existing connections between New Massive Gravity, bigravity theories, Galileon theories and holographic $c$-theorems.

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Miguel F. Paulos, Andrew J. Tolley. 2012-03-19. Massive Gravity Theories and limits of Ghost-free Bigravity models. https://doi.org/10.1007/jhep09(2012)002

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