1207.4764 (Eugeny Babichev)

Plane waves in the generalized Galileon theory    [PDF]

Eugeny Babichev

We present an exact plane wave solution of the shift-symmetric Horndeski (generalized Galileon) theory. The solution consists of the scalar (Galileon) part and the gravitational part with two polarization modes. The former is due to the presence of the non-trivial Galileon scalar field, and it is parametrized by an arbitrary function of the light coordinate. For a trivial scalar field configuration the solution is equivalent to the plane gravitational wave in General Relativity. When the metric is Minkowski, we reproduce known results for the plane waves of k-essence and a soliton-like solutions of a non-covariant Galileon model in a flat space-time.

View original: http://arxiv.org/abs/1207.4764