Effective theory for the Vainshtein mechanism from the Horndeski action

Kazuya Koyama, Gustavo Niz, Gianmassimo Tasinato

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tarting from the general Horndeski action, we derive the most general effective theory for scalar perturbations around flat space that allows us to screen fifth forces via the Vainshtein mechanism. The effective theory is described by a generalization of the Galileon Lagrangian, which we use to study the stability of spherically symmetric configurations exhibiting the Vainshtein effect. In particular, we discuss the phenomenological consequences of a scalar-tensor coupling that is absent in the standard Galileon Lagrangian. This coupling controls the superluminality and stability of fluctuations inside the Vainshtein radius in a way that depends on the density profile of a matter source. Particularly, we find that the vacuum solution is unstable due to this coupling.
Original languageEnglish
Pages (from-to)021502 1-6
JournalPhysical Review D
Issue number2
Publication statusPublished - 3 Jul 2013


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