Variational Principles for multisymplectic second-order classical field theories

Abstract

We state a unified geometrical version of the variational principles for second-order classical field theories. The standard Lagrangian and Hamiltonian variational principles and the corresponding field equations are recovered from this unified framework.

6 pp. Minor corrections. Clarifications and comments have been added. Two new sections ("Introduction" and "The higher-order case") have been added. Bibliography enlarged

References in corpus (1)

• A new multisymplectic unified formalism for second-order classical field theories

Cited by in corpus (4)

• Multisymplectic unified formalism for Einstein-Hilbert Gravity
• Unified formalism for Palatini gravity
• Symplectic quantization of multi-field Generalized Proca electrodynamics
• Multisymplectic Formalism for Cubic Horndeski Theories