The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model
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hdl:2117/365264
Tipus de documentArticle
Data publicació2022-01-01
Editorspringer-Verlag
Condicions d'accésAccés obert
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Abstract
In general, the system of 2nd-order partial differential equations made of the Euler–Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. The first aim of this work is to develop a fully geometric constraint algorithm which allows us to find a submanifold where the Euler–Lagrange equations have solution, and split the constraints into two kinds depending on their origin. We do so using k-symplectic geometry, which is the simplest intrinsic description of classical field theories. As a second aim, the Einstein–Palatini model of General Relativity is studied using this algorithm.
Descripció
The version of record of this article, first published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, is available online at Publisher’s website: http://dx.doi.org/10.1007/s13398-021-01136-x
CitacióAdame, D.; Gaset, J.; Roman-Roy, N. The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model. "Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas", 1 Gener 2022, vol. 116, núm. article 20.
ISSN1579-1505
Versió de l'editorhttps://link.springer.com/article/10.1007%2Fs13398-021-01136-x
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