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The Parametrized Post-Newtonian-Vainshteinian formalism

Avilez-Lopez, A.; Padilla, A.; Saffin, Paul M.; Skordis, C.


A. Avilez-Lopez

C. Skordis


Light degrees of freedom that modify gravity on cosmological scales must be "screened" on solar system scales in order to be compatible with data. The Vainshtein mechanism achieves this through a breakdown of classical perturbation theory, as large interactions involving new degrees of freedom become important below the so-called Vainshtein radius. We begin to develop an extension of the Parameterized Post-Newtonian (PPN) formalism that is able to handle Vainshteinian corrections. We argue that theories with a unique Vainshtein scale must be expanded using two small parameters. In this Parameterized Post-Newtonian-Vainshteinian (PPNV) expansion, the primary expansion parameter that controls the PPN order is, as usual, the velocity v. The secondary expansion parameter, α, controls the strength of the Vainshteinian correction and is a theory-specific combination of the Schwarzschild radius and the Vainshtein radius of the source that is independent of its mass. We present the general framework and apply it to Cubic Galileon theory both inside and outside the Vainshtein radius. The PPNV framework can be used to determine the compatibility of such theories with solar system and other strong-field data.


Avilez-Lopez, A., Padilla, A., Saffin, P. M., & Skordis, C. (2015). The Parametrized Post-Newtonian-Vainshteinian formalism. Journal of Cosmology and Astroparticle Physics, 2015(6),

Journal Article Type Article
Acceptance Date May 28, 2015
Online Publication Date Jun 25, 2015
Publication Date Jun 25, 2015
Deposit Date Apr 25, 2017
Publicly Available Date Apr 25, 2017
Journal Journal of Cosmology and Astroparticle Physics
Electronic ISSN 1475-7516
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 2015
Issue 6
Article Number 044
Keywords modified gravity, gravity
Public URL
Publisher URL
Copyright Statement Copyright information regarding this work can be found at the following address:


1501.01985.pdf (528 Kb)

Copyright Statement
Copyright information regarding this work can be found at the following address:

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