SecondOrder ScalarTensor Field Equations in a FourDimensional Space
Abstract
Lagrange scalar densities which are concomitants of a pseudoRiemannian metrictensor, a scalar field and their derivatives of arbitrary order are considered. The most general secondorder EulerLagrange tensors derivable from such a Lagrangian in a fourdimensional space are constructed, and it is shown that these EulerLagrange tensors may be obtained from a Lagrangian which is at most of second order in the derivatives of the field functions.
 Publication:

International Journal of Theoretical Physics
 Pub Date:
 September 1974
 DOI:
 10.1007/BF01807638
 Bibcode:
 1974IJTP...10..363H