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.
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - 2012 Feb 24
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)