09/10/2006, 11:00 — 12:00 — Room P3.10, Mathematics Building
Mark Gotay, Univ. of Hawai at Manoa
Stress-Energy-Momentum TensorsJ. Marsden and I present a new method of constructing a stress-energy-momentum tensor for a classical field theory based on covariance considerations and Noether theory. Our stress-energy-momentum tensor is defined using the (multi)momentum map associated to the spacetime diffeomorphism group. The tensor is uniquely determined as well as gauge-covariant, and depends only upon the divergence equivalence class of the Lagrangian. It satisfies a generalized version of the classical Belinfante-Rosenfeld formula, and hence naturally incorporates both the canonical stress-energy-momentum tensor and the "correction terms" that are necessary to make the latter well behaved. Furthermore, in the presence of a metric on spacetime, our coincides with the Hilbert tensor and hence is automatically symmetric.
- Gotay, M. J. and J. E. Marsden , Stress-energy-momentum tensors and the Belinfante-Rosenfeld formula, Contemp. Math. 132, 367-391.
- Forger, M. and H. Römer , Currents and the energy-momentum tensor in classical field theory: A fresh look at an old problem, Ann. Phys. 309, 306-389.