An introduction to the Vainshtein mechanism

By E. Babichev, Cedric Deffayet. 2013

393 citations recorded by the source corpus.

We introduce the Vainshtein mechanism which plays a crucial role in massive gravities, as well as in related theories such as Galileons and their extensions. This mechanism, also known as k-mouflage, allows to hide via nonlinear effects—typically for source distances smaller than a so-called Vainshtein radius which depends on the source and on the theory considered—some degrees of freedom whose effects are then only left important at large distances, e.g. for cosmology. It is introduced here in nonlinear Fierz–Pauli theories (massive gravities), including the dRGT theories, in their decoupling limits, as well as in other models such as the DGP model or generalized Galileons. This presentation is self-contained, and before discussing the Vainshtein mechanism we introduce some useful results and concepts concerning massive gravity, such as the vDVZ discontinuity, the decoupling limits or the Boulware–Deser ghost.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2458353ddca9c9b65c4f4732dc4fcf9e14fa1889

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Citations in the corpus

Stellar structure models in modified theories of gravity: Lessons and challenges (2019, methodology): “As already mentioned, Horndeski theories can be made compatible with solar system experiments by implementing the Vainshtein mechanism [94] (see [274] for a review), but this mechanism breaks down for beyond Horndeski theories inside astrophysical bodies, as the weak field limit functions (26) satis”
Horndeski theory and beyond: a review (2019, methodology): “ling to matter.) The Vainshtein mechanism is relevant to the Galileon theories, and below we will review this screening mechanism in the context of the generalized Galileon/Horndeski theory. See also [220] for a nice review on the Vainshtein mechanism. 5.1. A Vainshtein primer We start with emphasiz”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “A successful recovery of General Relativity in the decoupling limit then relies on the Vainshtein mechanism [39, 40, 41].”
Heavy spin-2 Dark Matter (2016, neutral): “the review [39].”
Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity (2014, background): “[101, 102] and references therein for a discussion of screening mechanisms).”