Generalized Galileon Model -- cosmological reconstruction and the
  Vainshtein mechanism --
  Explicit formulae of the equations in the generalized Galileon models are
given. We also develop the formulation of the reconstruction. By using the
formulation, we can explicitly construct an action which reproduces an
arbitrary development of the expansion of the universe. The conditions how the
reconstructed solution becomes stable and therefore it becomes an attractor
solution are also given. Working in the static and spherically symmetric
space-time, we investigate how the Vainshtein mechanism works in the
generalized Galileon model and the correction to the Newton law becomes small.
It is also shown that any spherically symmetric and static geometry can be
realized by properly choosing the form of the action, which may tell that the
solution could have fourth hair corresponding to the scalar field.
