Integrability from Point Symmetries in a family of Cosmological Horndeski Lagrangians

Understand

For a family of Horndeski theories, formulated in terms of a generalized Galileon model, we study the integrability of the field equations in a Friedmann-Lema\^{\i}tre-Robertson-Walker spacetime.

• We are interested in point transformations which leave invariant the field equations.
• Noether's theorem is applied to determine the conservation laws for a family of models that belong to the same general class.
• The cosmological scenarios with or without an extra perfect fluid with constant equation of state parameter are the two important cases of our study.