Vainshtein mechanism in second-order scalar-tensor theories

Details Vainshtein mechanism in second-order scalar-tensor theories Vainshtein mechanism in second-order scalar-tensor theories

2011-11-22

arxiv.org/abs/1111.5090v2

Phys.Rev.D85:044059, 2012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no figures

Scientific paper

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 $F(\phi)=e^{-2Q\phi}$ 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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