The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
An introduction to the Vainshtein mechanism
Open accessAbstract
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.
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Cites
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Joyce, A., Jain, B., Khoury, J., & Trodden, M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.002 · Cited by 1,231
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“A successful recovery of General Relativity in the decoupling limit then relies on the Vainshtein mechanism [39, 40, 41].”
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“[79] Eugeny Babichev and C’edric Deffayet, “An introduction to the Vainshtein mechanism,” Class.”
BackgroundStable and unstable cosmological models in bimetric massive gravity
Koennig, F., Akrami, Y., Amendola, L., Motta, M., & Solomon, A. R. (2014) · Physical Review D · doi:10.1103/physrevd.90.124014 · Cited by 128
Testing theories of gravity with planetary ephemerides
Fienga, A., & Minazzoli, O. (2024) · Living Reviews in Relativity · doi:10.1007/s41114-023-00047-0 · Cited by 45
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Metadata
- Authors
- Babichev, E., & Deffayet, C.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2013-09-06
- Volume
- 30
- Issue
- 18
- Pages
- 184001
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2144226330
- Cited by
- 383
- References
- 9
- FWCI
- 20.42
- Type
- journal article
- Language
- en
- Open access
- bronze
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