We define on-shell symmetries and characterize them for Lagrangian systems. The terms appearing in the variation of the Poincaré–Cartan form, which vanish because of field equations, are found to be strongly constrained if the space of solutions has to be preserved. The behavior with respect to solution dragging is also investigated in order to discuss relations with the theory of internal symmetries of a PDE.
On-shell Symmetries
FATIBENE, Lorenzo;FERRARIS, Marco;FRANCAVIGLIA, Mauro
2004-01-01
Abstract
We define on-shell symmetries and characterize them for Lagrangian systems. The terms appearing in the variation of the Poincaré–Cartan form, which vanish because of field equations, are found to be strongly constrained if the space of solutions has to be preserved. The behavior with respect to solution dragging is also investigated in order to discuss relations with the theory of internal symmetries of a PDE.
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