Nonminimal derivative coupling in five dimensional universal extra dimensions and recovering the cosmological constant Available to Purchase

We study a nonminimal derivative coupling (NMDC) of scalar field, where the scalar field is coupled to curvature tensor in the five dimensional universal extra dimension (UED) model. We choose an ansatz metric which contain a homogenous extra spatial dimension and solve the Einstein equation in the bulk. Under two assumptions concerning the scalar field and scale factors, we get the de Sitter universe and recover the cosmological constant from the coupling constant of NMDC. We also discuss how the extra dimension evolve in time.