Noether symmetry in Horndeski Lagrangian
Davood Momeni, Ratbay Myrzakulov
TL;DR
This paper investigates the application of Noether symmetry to the Horndeski Lagrangian, establishing theorems about conserved charges and demonstrating the possibility of symmetrization for these complex systems.
Contribution
It provides new theorems on Noether conserved charges for irregular systems and shows how to achieve symmetrization in Horndeski Lagrangian.
Findings
Proven theorems on Noether conserved charges for irregular systems
Demonstrated symmetrization methods for Horndeski Lagrangian
Established conditions for Noether symmetry in complex Lagrangians
Abstract
The Noether symmetry issue for Horndeski Lagrangian has been studied. We have been proven a series of theorems about the form of Noether conserved charge (current) for irregular (not quadratic) dynamical systems. Special attentions have been made on Horndeski Lagrangian. We have been proven that for Horndeski Lagrangian always is possible to find a way to make symmetrization.
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