Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor

2007/11/29 by Marco Castrillon Lopez, Marco Castrillón López, Mark J. Gotay +4
Mathematics · Physics and Astronomy · #70G75 #70S05 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #math-ph #math.MP #msc:70G75 #msc:70S05

paper · pdf · doi:10.48550/arxiv.0711.4679

16 pages, 1 figure

arxiv created 2007/11/29 · openalex publication_date 2007/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how to "concatenate" variational principles over different bases into one over a single base, thereby providing a unified Lagrangian treatment of interacting systems. As an example we study a Klein-Gordon field 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.

Citations

• Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
• Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics

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• The Energy-Momentum Tensor in Field Theory II
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