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Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics

Authors :
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
Gaset Rifà, Jordi
Román Roy, Narciso
Universitat Politècnica de Catalunya. Departament de Matemàtiques
Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
Gaset Rifà, Jordi
Román Roy, Narciso
Publication Year :
2016

Abstract

The consequences of the projectability of Poincar\'e-Cartan forms in a third-order jet bundle $J^3\pi$ to a lower-order jet bundle are analyzed using the constraint algorithm for the Euler-Lagrange equations in $J^3\pi$. The results are applied to the Hilbert Lagrangian for the Einstein equations. Furthermore, the case of higher-order mechanics is also studied as a particular situation.<br />Peer Reviewed<br />Postprint (author's final draft)

Details

Database :
OAIster
Notes :
11 p., application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.ocn978331978
Document Type :
Electronic Resource

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