Constraint algorithm for singular field theories in the $k$-cosymplectic framework
Abstract
The aim of this paper is to develop a constraint algorithm for singular classical field theories in the framework of -cosymplectic geometry. Since these field theories are singular, we need to introduce the notion of -precosymplectic structure, which is a generalization of the -cosymplectic structure. Next -precosymplectic Hamiltonian systems are introduced in order to describe singular field theories, both in Lagrangian and Hamiltonian formalisms. Finally, we develop a constraint algorithm in order to find a submanifold where the existence of solutions of the field equations is ensured. The case of affine Lagrangians is studied as a relevant example.
Cite
@article{arxiv.1812.08487,
title = {Constraint algorithm for singular field theories in the $k$-cosymplectic framework},
author = {Xavier Gràcia and Xavier Rivas and Narciso Román-Roy},
journal= {arXiv preprint arXiv:1812.08487},
year = {2021}
}
Comments
24 pp. Some errors corrected in Section 6.1. The example in Section 6.2 has been changed. Acknowledgements updated