Physics – Mathematical Physics
Scientific paper
2001-12-17
J. Nonlinear Math. Phys., volume 9, no. 3 (2002) 256-261
Physics
Mathematical Physics
arxiv version is already official
Scientific paper
The phenomenon of an implicit function which solves a large set of second order partial differential equations obtainable from a variational principle is explicated by the introduction of a class of universal solutions to the equations derivable from an arbitrary Lagrangian which is homogeneous of weight one in the field derivatives. This result is extended to many fields. The imposition of Lorentz invariance makes such Lagrangians unique, and equivalent to the Companion Lagrangians introduced in [baker].
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