Second-order scalar-tensor field equations in a four-dimensional space
Abstract
Lagrange scalar densities which are concomitants of a pseudo-Riemannian metric-tensor, a scalar field and their derivatives of arbitrary order are considered. The most general second-order Euler-Lagrange tensors derivable from such a Lagrangian in a four-dimensional space are constructed, and it is shown that these Euler-Lagrange 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
- Keywords:
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- Field Theory;
- Elementary Particle;
- Quantum Field Theory;
- Scalar Field;
- Field Equation