On-shell Lagrangians as total derivatives and the generalized Komar charge

Abstract

Lagrangians which transform homogeneously under a global transformation of the fields (a global rescaling, for instance) can be written on-shell as a total derivative which has a universal, solution-independent expression, using a functional version of the Euler theorem for homogeneous functions. We study the uniqueness of this expression and how this result can be used in the construction of generalized Komar charges.

arXiv commentLaTeX file. 20 pages, no figures. References added