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

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Conservation laws and stress–energy–momentum tensors for systems with background fields. / Gratus, Jonathan; Tucker, Robin; Obukhov, Yuri.

In: Annals of Physics, Vol. 327, No. 10, 10.2012, p. 2560-2590.

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Gratus, Jonathan ; Tucker, Robin ; Obukhov, Yuri. / Conservation laws and stress–energy–momentum tensors for systems with background fields. In: Annals of Physics. 2012 ; Vol. 327, No. 10. pp. 2560-2590.

Bibtex

@article{5358a2e231bd4e9c831c52044f6df05a,
title = "Conservation laws and stress–energy–momentum tensors for systems with background fields",
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.",
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",
author = "Jonathan Gratus and Robin Tucker and Yuri Obukhov",
year = "2012",
month = "10",
doi = "10.1016/j.aop.2012.07.006",
language = "English",
volume = "327",
pages = "2560--2590",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "ELSEVIER ACADEMIC PRESS INC",
number = "10",

}

RIS

TY - JOUR

T1 - Conservation laws and stress–energy–momentum tensors for systems with background fields

AU - Gratus, Jonathan

AU - Tucker, Robin

AU - Obukhov, Yuri

PY - 2012/10

Y1 - 2012/10

N2 - 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.

AB - 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.

KW - Noether current

KW - Abraham stress–energy–momentum tensor

KW - Minkowski stress–energy–momentum tensor

KW - Canonical stress–energy–momentum tensor

KW - Einstein–Hilbert stress–energy–momentum tensor

KW - Diffeomorphism invariance

UR - http://www.scopus.com/inward/record.url?scp=84865532253&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2012.07.006

DO - 10.1016/j.aop.2012.07.006

M3 - Journal article

VL - 327

SP - 2560

EP - 2590

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 10

ER -