Z2 Symmetric solitonic branes with a nonminimally derivative coupled bulk-scalar field

In this paper, we investigate [Formula: see text] symmetric solitonic thick branes constructed by a five-dimensional real scalar field that is coupled to the curvature through a nonminimally derivative coupling term. The effects of the nonminimal derivative coupling parameter on the structure of thick brane, the five-dimensional warp factor and energy density are analyzed. By investigating the tensor perturbation equations of gravity, we also find that the solitonic brane is stable and capable of trapping the graviton zero mode under certain circumstances of the nonminimal derivative coupling constant.