Multisymplectic formalism for cubic horndeski theories

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 t...

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Bibliographic Details
Published in:Physica scripta 2023-08, Vol.98 (8), p.85215
Main Authors: Doniz, Mauricio, Gaset, Jordi
Format: Article
Language:English
Subjects:
covariant hamiltonian field theory
higher-order field theories
horndeski theory
multisymplectic structure
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Summary: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 Poincaré-Cartan form of the Lagrangian to project onto J 1 π . 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 π conditions are not met.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/acdd2f