An introduction to the Vainshtein mechanism
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 kmouflage, allows to hide via nonlinear effects—typically for source distances smaller than a socalled 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 FierzPauli 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 selfcontained, 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 BoulwareDeser ghost.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 September 2013
 DOI:
 10.1088/02649381/30/18/184001
 arXiv:
 arXiv:1304.7240
 Bibcode:
 2013CQGra..30r4001B
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 28 pages, invited review for CQG focus issue