Noether symmetry in Horndeski Lagrangian

摘要

The Noether symmetry issue for Horndeski Lagrangian has been studied. We have proven a series of theorems about the form of Noether conserved charge (current) for irregular (not quadratic) dynamical systems. Special attention has been paid to Horndeski Lagrangian. We have proven that for Horndeski Lagrangian it is always possible to symmetrize in some way.