Second-order Lagrangians admitting a first-order Hamiltonian formalism

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.

Description

Title: Second-order Lagrangians admitting a first-order Hamiltonian formalism
Author/s:
  • Rosado María, María Eugenia
  • Muñoz Masqué, Jaime
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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Abstract

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.

More information

Item ID: 48804
DC Identifier: http://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
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