Vainshtein mechanism in second-order scalar-tensor theories

Antonio De Felice*, Ryotaro Kase, Shinji Tsujikawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Citations (Scopus)


In second-order scalar-tensor theories we study how the Vainshtein mechanism works in a spherically symmetric background with a matter source. In the presence of the field coupling F=e -2Q with the Ricci scalar R we generally derive the Vainshtein radius within which the general relativistic behavior is recovered even for the coupling Q of the order of unity. Our analysis covers the models such as the extended Galileon and Brans-Dicke theories with a dilatonic field self-interaction. We show that, if these models are responsible for the cosmic acceleration today, the corrections to gravitational potentials are generally small enough to be compatible with local gravity constraints.

Original languageEnglish
Article number044059
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
Publication statusPublished - 2012 Feb 24
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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