Weak Field Limit for Embedding Gravity

We study a perturbation theory for embedding gravity equations in background which corrections to the function are linear with respect flat metric. The remaining arbitrariness after solving linearized field is fixed by an assumption that solution static second order. A nonlinear differential equation obtained, allows finding gravitational potential spherically symmetric case if given. An explicit form of parameterized one radius proposed. It shown this can be chosen such way good agreement observed distribution dark matter galactic halo.