Publication: Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor
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2009
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Nova Science Publisher
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Abstract
We show how to \concatenate" variational principles over different bases into one over a single base, thereby providing a unifed Lagrangian treatment of interacting systems. As an example we study a Klein Gordon feld interacting with a mesically charged particle. We employ
our method to give a novel group-theoretic derivation of the kinetic stress-energy-momentum tensor density corresponding to the particle.
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Anderson, J. L. [1967], Principles of Relativity Physics. Academic Press, New York.
Castrillón López, M., M. J. Gotay, and J. E. Marsden [2008], Parametrization and stress-energy-momentum tensors in metric theories (to appear).
Gotay, M. J., J. A. Isenberg, J. E. Marsden, and R. Montgomery [1998], Momentum maps and classical felds, I: Covariant feld theory, arXiv: physics/9801019.
Gotay, M. J., J. A. Isenberg, and J. E. Marsden [2004], Momentum maps and classical felds, II: Canonical analysis of feld theories, arXiv: mathph/0411032.
Gotay, M. J. and J. E. Marsden [1992], Stress-energy-momentum tensors and the Belinfante{Rosenfeld formula, Contemp. Math. 132, 367-391.
Gotay, M. J. and J. E. Marsden [2008], Parametrization theory, in preparation.
Green, M. B., J. H. Schwarz, and E. Witten [1987], Superstring Theory, Volume I: Introduction. Cambridge Univ. Press, Cambridge. Kunzinger, M., G. Rein, R. Steinbauer, and G. Teschl [2005], On classical solutions of the relativistic Vlasov-Klein-Gordon system, Electronic J. Differential Equations, no. 1, 17 pp.
Landau, L. D. and E. M. Lifshitz [1979], The Classical Theory of Fields. Fourth revised English ed., Permagon Press, Aberdeen. Leclerc, M. [2006], Canonical and gravitational stress-energy tensors, arXiv: gr-qc/0510044.
Minkowski, H. [1908], Die Grundgleichungen ffur die elektromagnetischen Vorgfange in bewegten Kforpern, Nach. Ges. Wiss. Gfottingen, 53-111.
Rein, G. [1990], Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics, Comm. Math. Phys. 135, 41-78.