Asymptotic conservation laws in field theory
I. M. Anderson, C. G. Torre (Utah State University)
TL;DR
This paper introduces a universal, field-theoretic method for deriving asymptotic conservation laws directly from field equations, applicable across various theories including general relativity.
Contribution
It presents a novel, general approach that does not depend on Lagrangian or Hamiltonian formalisms to derive asymptotic conservation laws.
Findings
Synthesizes all known asymptotic conservation laws
Provides invariance properties of the derived laws
Includes the ADM energy in general relativity as a special case
Abstract
A new, general, field theoretic approach to the derivation of asymptotic conservation laws is presented. In this approach asymptotic conservation laws are constructed directly from the field equations according to a universal prescription which does not rely upon the existence of Noether identities or any Lagrangian or Hamiltonian formalisms. The resulting general expressions of the conservation laws enjoy important invariance properties and synthesize all known asymptotic conservation laws, such as the ADM energy in general relativity.
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