Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics
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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.
CitationGaset, J., Roman-Roy, N. Order reduction, projectability and constrainsts of second-order field theories and higuer-order mechanics. "Reports on mathematical physics", 1 Desembre 2016, vol. 78, núm. 3, p. 327-337.