Cosmological perturbation analysis of nonminimal derivative coupling of scalar and tensor fields in five dimensions

Abstract

Perturbation is studied for non-minimal derivative coupling between a scalar fields and curvature tensor in five dimensions. We apply this analysis in flat universal five dimensional spacetime, generate the field equations and consider special cases at early universe, to get an exact form of the perturbation parameters. The solutions is used to explain the coupling parameter of non-minimal derivative coupling with curvature tensor. We find that for case of static extradimension at early time, the coupling parameter is approximately have value of ξ ≈ 0, 0274.