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arXiv · 2211.10625

Multisymplectic Formalism for Cubic Horndeski Theories

M. Doniz·J. Gaset
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Abstract

We present the covariant multisymplectic formalism for the so-called cubic Horndeski theories and discuss the geometrical and physical interpretation of the constraints that arise in the unified Lagrangian-Hamiltonian approach. We analyse in more detail the covariant Hamiltonian formalism of these theories and we show that there are particular conditions that must be satisfied for the Poincar\'e-Cartan form of the Lagrangian to project onto $J^1\pi$. From this result, we study when a formulation using only multimomenta is possible. We further discuss the implications of the general case, in which the projection onto $J^1\pi$ conditions are not met.

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M. Doniz, J. Gaset. 2022-11-19. Multisymplectic Formalism for Cubic Horndeski Theories. https://doi.org/10.1088/1402-4896%2Facdd2f

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