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Rosado María, María Eugenia and Muñoz Masqué, Jaime (2017). Second-order Lagrangians admitting a first-order Hamiltonian formalism. "Annali di Matematica Pura ed Applicata" ; pp. 1-44. ISSN 0373-3114. https://doi.org/10.1007/s10231-017-0683-y.
Title: | Second-order Lagrangians admitting a first-order Hamiltonian formalism |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Annali di Matematica Pura ed Applicata |
Date: | 2017 |
ISSN: | 0373-3114 |
Subjects: | |
Freetext Keywords: | Hilbert–Einstein Lagrangian ,Hamilton–Cartan formalism ,Jacobi fields, Jet bundles, Poincaré–Cartan form, Presymplectic structure |
Faculty: | E.T.S. Arquitectura (UPM) |
Department: | Matemática Aplicada |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) for each second-order Lagrangian den- sity on an arbitrary fibred manifold p: E ? N the Poincar¿e-Cartan form of which is projectable onto J1E, by using a new notion of regularity pre- viously introduced, a first-order Hamiltonian formalism is developed for such a class of variational problems; ii) the existence of first-order equiva- lent Lagrangians are discussed from a local point of view as well as global; iii) this formalism is then applied to classical Einstein-Hilbert Lagrangian and a generalization of the BF theory. The results suggest that the class of problems studied is a natural variational setting for GR.
Item ID: | 48804 |
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DC Identifier: | https://oa.upm.es/48804/ |
OAI Identifier: | oai:oa.upm.es:48804 |
DOI: | 10.1007/s10231-017-0683-y |
Official URL: | https://link.springer.com/article/10.1007%2Fs10231-017-0683-y |
Deposited by: | Memoria Investigacion |
Deposited on: | 20 Dec 2017 08:48 |
Last Modified: | 20 Dec 2017 08:48 |