Gotay, Mark J. and Marsden, Jerrold E. (1992) StressEnergyMomentum Tensors and the BelinfanteRosenfeld Formula. In: Mathematical aspects of classical field theory. Contemp. Math. . No.132. American Mathematical Society , pp. 367392. http://resolver.caltech.edu/CaltechAUTHORS:20100810093244959

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Abstract
We present a new method of constructing a stressenergymomentum tensor for a classical field theory based on covariance considerations and Noether theory. The stressenergymomentum tensor T ^μ _ν that we construct is defined using the (multi)momentum map associated to the spacetime diffeomorphism group. The tensor T ^μ _ν is uniquely determined as well as gaugecovariant, and depends only upon the divergence equivalence class of the Lagrangian. It satisfies a generalized version of the classical BelinfanteRosenfeld formula, and hence naturally incorporates both the canonical stressenergymomentum tensor and the “correction terms” that are necessary to make the latter well behaved. Furthermore, in the presence of a metric on spacetime, our T^(μν) coincides with the Hilbert tensor and hence is automatically symmetric.
Item Type:  Book Section  

Additional Information:  © 1992. We are grateful for helpful discussions with Arthur Fischer, Hans Künzle, John Pierce, and Abe Taub. Research partially supported by NSF Grant DMS 8805699. Research partially supported by NSF Grant DMS 8922704  
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Record Number:  CaltechAUTHORS:20100810093244959  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20100810093244959  
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ID Code:  19366  
Collection:  CaltechAUTHORS  
Deposited By:  Ruth Sustaita  
Deposited On:  10 Aug 2010 21:27  
Last Modified:  26 Dec 2012 12:18 
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