A Direct Method for Obtaining the Differential Conservation Laws
Alexander A. Chernitskii
TL;DR
This paper introduces a direct approach to derive differential conservation laws in field theory using local transformations of field functions, demonstrated on general relativity.
Contribution
It presents a novel direct method for obtaining conservation laws from the principle of stationary action via local transformations.
Findings
Applicable to general relativity
Provides a systematic way to derive conservation laws
Simplifies the process of obtaining differential conservation laws
Abstract
A direct method for obtaining the differential conservation laws in the field theory from the principle of stationary action is proposed. The method is based on a variation of field functions through small local transformation of a special kind. The action of general theory of relativity are considered.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics