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An introduction to the Vainshtein mechanism

Eugeny Babichev 1 C. Deffayet 2, 3 
2 APC - THEORIE
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : 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 non linear 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 non linear Fierz-Pauli theories (massive gravities), including the dRGT theories, in their decoupling limits, as well as in other models such as 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.
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Submitted on : Wednesday, June 12, 2013 - 3:41:00 PM
Last modification on : Sunday, June 26, 2022 - 11:59:08 AM

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Eugeny Babichev, C. Deffayet. An introduction to the Vainshtein mechanism. Classical and Quantum Gravity, IOP Publishing, 2013, 30, pp.184001. ⟨10.1088/0264-9381/30/18/184001⟩. ⟨hal-00833391⟩

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