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arXiv · 1111.5090

Vainshtein mechanism in second-order scalar-tensor theories

Antonio De Felice·Ryotaro Kase·Shinji Tsujikawa
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Abstract

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 $F(ϕ)=e^{-2Qϕ}$ 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.

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Antonio De Felice, Ryotaro Kase, Shinji Tsujikawa. 2012-02-25. Vainshtein mechanism in second-order scalar-tensor theories. https://doi.org/10.1103/physrevd.85.044059

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