On non-linear actions for massive gravity

By Sayed Fawad Hassan, Rachel A Rosen. 2011

391 citations recorded by the source corpus.

In this work we present a systematic construction of the potentially ghost-free non-linear massive gravity actions. The most general action can be regarded as a 2-parameter deformation of a minimal massive action. Further extensions vanish in 4 dimensions. The general mass term is constructed in terms of a “deformed” determinant from which this property can clearly be seen. In addition, our formulation identifies nondynamical terms that appear in previous constructions and which do not contribute to the equations of motion. We elaborate on the formal structure of these theories as well as some of their implications.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/e8537a91ceed1657bb1170ad7a54291dcf3c5185

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Citations in the corpus

Theoretical Aspects of Massive Gravity (2011, neutral): “Some other re-summations are discussed in [147, 93].”
Bimetric gravity is cosmologically viable (2015, neutral): “— The ghost-free action for bigravity containing metrics gμν and fμν is given by [4, 43]”
On couplings to matter in massive (bi-)gravity (2014, neutral): “[96].”
Thermodynamics of Black Holes in Massive Gravity (2014, background): “Recently, Vegh [19] found a nontrivial black hole solution with a Ricci flat horizon in four dimensional massive gravity with a negative cosmological constant [20].”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “An extension of massive gravity where the requirement for the auxiliary metric to be non-dynamical is removed, results into the so-called massive bigravity [302].”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “The ghost free interactions of massive gravity can be also expressed in a more compact form in terms of a deformed determinant [136]”
Helicity decomposition of ghost-free massive gravity (2011, background): “The allowed mass terms derived in [2] can be shown to arise as the expansion of the determinant √−g det[gν + λKν ] to fourth order in λ [16, 20, 21].”
Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality (2012, background): “1 Recently this has changed as new nonlinear interactions free of ghosts have been discovered, described and explored by de Rham, Gabadadze, Tolley and others [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27].”