AUGMENTED VARIATIONAL PRINCIPLES AND RELATIVE CONSERVATION LAWS IN CLASSICAL FIELD THEORY

Asymptotic Conservation Laws in Classical Field Theory.

ar X iv : m at h - ph / 0 41 10 29 v 1 8 N ov 2 00 4 Augmented Variational Principles and Relative Conservation Laws in Classical Field Theory

Augmented variational principles are introduced in order to provide a definition of relative conservation laws. As it is physically reasonable, relative conservation laws define in turn relative conserved quantities which measure, for example, how much energy is needed in a field theory to go from one configuration (called the reference or vacuum) to another configuration (the physical state of...

Asymptotic Conservation Laws in Field Theory

A new approach to the derivation of asymptotic conservation laws in field theory is presented. This approach is based upon the explicit construction of a universal spacetime differential form which plays a central role in the general theory of lowerdegree conservation laws. It is shown that this differential form immediately leads to the standard asymptotic conservations laws for both the Einst...

Symmetry Principles and Conservation Laws

Newtonian physics is characterized by the existence of various conservation laws, that is, principles that tell us that however complicated the interactions among the components making up the system, certain quantities never change. Perhaps the most familiar such law is the conservation of the total mass of the system, or “amount of matter” in it: as described in Feynman, §3, we believe that in...

Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory

The field equations in the nonsymmetric gravitational theory are derived from a Lagrangian density using a first-order formalism. Using the general covariance of the Lagrangian density, conservation laws and tensor identities are derived. Among these are the generalized Bianchi identities and the law of energy-momentum conservation. The Lagrangian density is expanded to second-order, and treate...