Anisotropic inflation in non-minimal kinetic coupling model

Abstract We study anisotropic inflation in non-minimal derivative coupling model where the scalar field non-minimally coupled to U(1) gauge fields and of Einstein tensor. Within framework we find power-law solutions this when both inflaton potential kinetic function are type high friction regime. show ratio anisotropy expansion rate is nearly constant, small proportional slow-roll parameters theory. As a demonstration, consider numerically calculation that behavior by changing for quadratic inflationary potential. There attractor solution wide range values parameters. analytically there two phases inflation, similar those an minimal model, isotropic phase. can change number e-folds corresponding each phase slow roll constant or constant. best agreement with investigation.