Energy-momentum tensors and stress tensors in geometric field theories

DOI10.1063/1.526531zbMath0562.53051OpenAlexW1963989731MaRDI QIDQ3675140

Mauro Francaviglia, Marco Ferraris

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526531

zbMATH Keywords

stress tensorsenergy-momentum tensorsinteracting fieldsenergy flowLagrangian field theories of geometric objects

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (9)

Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism ⋮ Algebra of implicitly defined constraints for gravity as the general form of embedding theory ⋮ Nöther formalism for conserved quantities in classical gauge field theories ⋮ Stress-energy-momentum tensors in constraint field theories ⋮ Nöther formalism for conserved quantities in classical gauge field theories. II. The arbitrary Bosonic matter case ⋮ New superpotentials in general relativity ⋮ Gauge formalism for general relativity and fermionic matter ⋮ Do bosons feel spin frames? ⋮ Covariant first-order Lagrangians, energy-density and superpotentials in general relativity

Cites Work

• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• A theory of generally invariant Lagrangians for the metric fields. II
• Noether equations and conservation laws
• The Hamilton-Cartan formalism in the calculus of variations

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