Necessary criterion of choosing the energy-momentum tensor and the Lagrange formalism
arXiv:1904.10297
Abstract
It is shown that the necessary criterion for choosing the energy-momentum tensor of a physical system is the form of its linear invariant, which should be the lagrangian of this physical system. Examples of energy-momentum tensors that meet this criterion are given. For an electromagnetic field in vacuum, the linear invariant of the energy-momentum tensor must be the canonical lagrangian or the quadratic invariant of the electromagnetic field tensor. A mathematical method for obtaining the lagrangian that complements the Lagrange formalism is proposed.
arXiv comment6 pages
References in corpus (4)
- The Lagrangian Formulation of Strong-Field QED in a Plasma
- Moving point charge as a soliton in nonlinear electrodynamics
- A new form of the energy-momentum tensor of the interaction of an electromagnetic field with a non-conducting medium. The wave equations. The electromagnetic forces
- About the Abraham force in a conducting medium