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On the energy–momentum tensor

Ricardo E Gamboa Saraví 2004 J. Phys. A: Math. Gen. 37 9573-9585   doi: 10.1088/0305-4470/37/40/017  Help

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Ricardo E Gamboa Saraví
Departamento de Física, Universidad Nacional de La Plata CC 67, 1900 La Plata, Argentina
E-mail: quique@venus.fisica.unlp.edu.ar

Abstract. We clarify the relation among canonical, metric and Belinfante's energy–momentum tensors for general tensor field theories. For any tensor field T, we define a new tensor field \widetilde {\bm T} in terms of which metric and Belinfante's energy–momentum tensors are readily computed. We show that the latter is the one that arises naturally from Noether's theorem for an arbitrary spacetime and it coincides on-shell with the metric one.

PACS numbers: 03.50.De, 11.30.−j

Print publication: Issue 40 (8 October 2004)
Received 12 April 2004, in final form 10 August 2004
Published 22 September 2004

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