Stress-energy-momentum tensors in higher order variational calculus

DOI10.1016/S0393-0440(98)00063-1zbMath0954.58021MaRDI QIDQ1568775

César Rodrigo, Pedro L. García, Antonio Fernández

Publication date: 5 February 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Poincaré-Cartan formstress-energy-momentum tensormultimomentum map

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Variational principles in infinite-dimensional spaces (58E30) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (11)

Overconnections and the energy-tensors of gauge and gravitational fields ⋮ Covariant-differential formulation of Lagrangian field theory ⋮ Noether's Second Theorem on natural bundles ⋮ Multisymplectic unified formalism for Einstein-Hilbert gravity ⋮ Euler-Poincaré reduction in principal fibre bundles and the problem of Lagrange ⋮ Cartan forms for first order constrained variational problems ⋮ Stress-energy-momentum tensors for natural constrained variational problems ⋮ Variational methods, multisymplectic geometry and continuum mechanics ⋮ Lagrange-Poincaré field equations ⋮ Topological twists of supersymmetric algebras of observables ⋮ Variational principles for energy-momentum tensors

Cites Work

• A geometrical version of the higher order Hamilton formalism in fibred manifolds
• Poincaré-Cartan forms in higher order variational calculus on fibred manifolds
• Natural bundles have finite order
• The Hamilton-Cartan formalism in the calculus of variations
• An alternative approach to the Cartan form in Lagrangian field theories
• Transformation Groups and Natural Bundles
• $$D$$ -modules, contact valued calculus and Poincare-Cartan form
• On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields
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