Plane waves in the generalized Galileon theory

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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Cited by in corpus (12)

• Beyond the Cosmological Standard Model
• Dynamical analysis of generalized Galileon cosmology
• Probing modified gravity theories and cosmology using gravitational-waves and associated electromagnetic counterparts
• Formation of caustics in k-essence and Horndeski theory
• The nonlinear dynamical stability of infrared modifications of gravity
• Wave propagation and shock formation in the most general scalar-tensor theories
• Emergence of ghosts in Horndeski theory
• Non-minimal Energy-momentum squared gravity
• Laser interferometer response to scalar massive gravitational waves
• Cosmology of a higher derivative scalar theory with non-minimal Maxwell coupling
• Axionic extension of the Proca action
• Exact pp-wave solutions in shift-symmetric higher-order scalar-tensor theories