Plane waves in the generalized Galileon theory
arXiv:1207.4764 · doi:10.1103/PhysRevD.86.084037
Abstract
We present an exact plane wave solution of the most general shift-symmetric Horndeski (generalized Galileon) theory. The solution consists of the scalar 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-cone 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.
RevTeX4 format, 5 pages; v2: references added; v3: some explanations added, matches published version
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