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

Gratus, Jonathan and Tucker, Robin and Obukhov, Yuri (2012) Conservation laws and stress–energy–momentum tensors for systems with background fields. Annals of Physics, 327 (10). pp. 2560-2590. ISSN 0003-4916

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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.

Item Type: Article
Journal or Publication Title: Annals of Physics
Uncontrolled Keywords: Noether current ; Abraham stress–energy–momentum tensor ; Minkowski stress–energy–momentum tensor ; Canonical stress–energy–momentum tensor ; Einstein–Hilbert stress–energy–momentum tensor ; Diffeomorphism invariance
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 56742
Deposited By: ep_importer_pure
Deposited On: 06 Aug 2012 17:02
Refereed?: Yes
Published?: Published
Last Modified: 24 Jan 2014 05:29
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/56742

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