The Parametrized PostNewtonianVainshteinian formalismTools AvilezLopez, A. and Padilla, A. and Saffin, Paul M. and Skordis, C. (2015) The Parametrized PostNewtonianVainshteinian formalism. Journal of Cosmology and Astroparticle Physics, 2015 (06). 044//1044/26. ISSN 14757516
AbstractLight 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 socalled Vainshtein radius. We begin to develop an extension of the Parameterized PostNewtonian (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 PostNewtonianVainshteinian (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 theoryspecific 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 strongfield data.
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