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Conservation laws and stress–energy–momentum tensors for systems with background fields

Research output: Contribution to journalJournal article

Published

Journal publication date10/2012
JournalAnnals of Physics
Journal number10
Volume327
Number of pages31
Pages2560-2590
Early online date16/07/12
Original languageEnglish

Abstract

This article attempts to delineate the roles played by non-dynamical background structures and Killing symmetries in the construction of stress–energy–momentum tensors generated from a diffeomorphism invariant action density. An intrinsic coordinate independent approach puts into perspective a number of spurious arguments that have historically lead to the main contenders, viz the Belinfante–Rosenfeld stress–energy–momentum tensor derived from a Noether current and the Einstein–Hilbert stress–energy–momentum tensor derived in the context of Einstein’s theory of general relativity. Emphasis is placed on the role played by non-dynamical background (phenomenological) structures that discriminate between properties of these tensors particularly in the context of electrodynamics in media. These tensors are used to construct conservation laws in the presence of Killing Lie-symmetric background fields.