About: Belinfante–Rosenfeld stress

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In mathematical physics, the Belinfante–Rosenfeld tensor is a modification of the energy–momentum tensor that is constructed from the canonical energy–momentum tensor and the spin current so as to be symmetric yet still conserved. In a classical or quantum local field theory, the generator of Lorentz transformations can be written as an integral of a local current Here is the canonical Noether energy–momentum tensor, and is the contribution of the intrinsic (spin) angular momentum. Local conservation of angular momentum requires that An integration by parts shows that

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rdfs:label	Belinfante–Rosenfeld stress–energy tensor (en)
rdfs:comment	In mathematical physics, the Belinfante–Rosenfeld tensor is a modification of the energy–momentum tensor that is constructed from the canonical energy–momentum tensor and the spin current so as to be symmetric yet still conserved. In a classical or quantum local field theory, the generator of Lorentz transformations can be written as an integral of a local current Here is the canonical Noether energy–momentum tensor, and is the contribution of the intrinsic (spin) angular momentum. Local conservation of angular momentum requires that An integration by parts shows that (en)
dcterms:subject	Tensors in general relativity
Wikipage page ID	32106995 (xsd:integer)
Wikipage revision ID	1071233196 (xsd:integer)
Link from a Wikipage to another Wikipage	Quantum field theory Bound current Noether's theorem Classical field theory General relativity Angular momentum Lorentz group Lorentz transformation Léon Rosenfeld Spin tensor Mathematical physics Spin connection Tensors in general relativity Lagrangian density Frederik Belinfante Energy–momentum tensor Vierbein
sameAs	Belinfante–Rosenfeld stress–energy tensor Belinfante–Rosenfeld stress–energy tensor Belinfante–Rosenfeld stress–energy tensor
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	In mathematical physics, the Belinfante–Rosenfeld tensor is a modification of the energy–momentum tensor that is constructed from the canonical energy–momentum tensor and the spin current so as to be symmetric yet still conserved. In a classical or quantum local field theory, the generator of Lorentz transformations can be written as an integral of a local current Here is the canonical Noether energy–momentum tensor, and is the contribution of the intrinsic (spin) angular momentum. Local conservation of angular momentum requires that Thus a source of spin-current implies a non-symmetric canonical energy–momentum tensor. The Belinfante–Rosenfeld tensor is a modification of the energy momentum tensor that is constructed from the canonical energy momentum tensor and the spin current so as to be symmetric yet still conserved. An integration by parts shows that and so a physical interpretation of Belinfante tensor is that it includes the "bound momentum" associated with gradients of the intrinsic angular momentum. In other words, the added term is an analogue of the "bound current" associated with a magnetization density . The curious combination of spin-current components required to make symmetric and yet still conserved seems totally ad hoc, but it was shown by both Rosenfeld and Belinfante that the modified tensor is precisely the symmetric Hilbert energy–momentum tensor that acts as the source of gravity in general relativity. Just as it is the sum of the bound and free currents that acts as a source of the magnetic field, it is the sum of the bound and free energy–momentum that acts as a source of gravity. (en)
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foaf:isPrimaryTopicOf	wikipedia-en:Belinfante–Rosenfeld_stress–energy_tensor
is Link from a Wikipage to another Wikipage of	Belinfante-Rosenfeld stress-energy tensor Belinfante–Rosenfeld stress-energy tensor Einstein–Hilbert action Contorsion tensor Léon Rosenfeld Spin tensor Weinberg–Witten theorem Gordon decomposition Einstein–Cartan theory Frederik Belinfante Rosenfeld
is Wikipage redirect of	Belinfante-Rosenfeld stress-energy tensor Belinfante–Rosenfeld stress-energy tensor
is Wikipage disambiguates of	Rosenfeld
is known for of	Léon Rosenfeld
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