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The maximally complicated arbitrary-dimensional "maximal" Galileon fieldequations simplify dramatically for symmetric configurations. Thus, sphericalsymmetry reduces the equations from the D- to the two-dimensional Monge-Ampereequation, axial symmetry to its cubic extension etc. We can then obtainexplicit solutions, such as spherical or axial waves, and relate them to the(known) general, but highly implicit, lower-D solutions.

Symmetrically reduced Galileon equations and solutions