Comments on Galileons

Abstract

The recent progress in the study of Galileons, i.e. equations of second order with an action invariant under a Galilean transformation is related to work on `Universal Field Equations' \cite{dbfgov} which are second order equations arising by an iterative procedure from arbitrary Lagrangians of weight one in their first derivatives. It is pointed out that the Galileon is simply a Kaluza-Klein reduction of a Universal Field Equation. An implicit solution to the equation of motion is presented, and a class of explicit solutions pointed out. The multi-field extensions of both types of equations are derived from a first order formalism, which is simply the substantive derivative of fluid dynamics.

10 pages, no figures

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Cited by in corpus (8)

• From k-essence to generalised Galileons
• Symmetries for Galileons and DBI scalars on curved space
• Light mass galileons: Cosmological dynamics, mass screening and observational constraints
• Moving Stable Solitons in Galileon Theory
• Note on the Stabilities of the Light-like Galileon Solutions
• Symmetrically reduced Galileon equations and solutions
• Geons of Galileons
• Galileons and Naked Singularities