arXiv:1606.04465v1 [gr-qc] 14 Jun 2016 Prepared for submission to JCAP Vainshtein mechanism in general disformal gravity theory Khamphee Karwan, a David F. Mota, b Saksith Jaksri a,c a The Institute for Fundamental Study “The Tah Poe Academia Institute”, Naresuan Univer- sity, Phitsanulok 65000, Thailand b Institute of Theoretical Astrophysics, University of Oslo, P.O. Box 1029 Blindern, N-0315 Oslo, Norway c Department of Physics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thai- land Abstract. We consider a theory of gravity in which the action is a result from the general disformal transformation on the Einstein-Hilbert action. We investigate the conditions where this theory can drive an accelerated expansion of the present universe, and then study the Vainshtein mechanism in this theory under such conditions. We find that the Vainshtein mechanism can work if the kinetic terms of the scalar field in the theory take non-canonical forms. Based on the constraint from local gravity experiments, we find that General Relativity is recovered inside the Vainshtein radius which can be of the order of the radius of the Milky Way.