Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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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
AN - SCOPUS:84865532253
VL - 327
SP - 2560
EP - 2590
JO - Annals of Physics
JF - Annals of Physics
SN - 0003-4916
IS - 10
ER -