Stress-energy-momentum tensors in higher order variational calculus
type: Item
instance of: scholarly article
title: Stress-energy-momentum tensors in higher order variational calculus
zbMATH Open document ID: 0954.58021
DOI: 10.1016/S0393-0440(98)00063-1
published in: Journal of Geometry and Physics
publication date: 2001-02-05T00:00:00Z
review text: The authors introduce a new method for constructing stress-energy-momentum tensors for higher order variational calculus. After recalling some basic notions and properties in higher order variational calculus the authors state and prove their main result. It is also discussed the special case of the parametrized Lagrangian densities and there are given several examples arising in applications. The authors refer only to a class of non-perfect relativistic fluids which allows them to formulate a general variational theory of dissipative relativistic hydrodynamics.
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 1463371
zbMATH Keywords: Poincaré-Cartan form
zbMATH Keywords: multimomentum map
zbMATH Keywords: stress-energy-momentum tensor
author: Antonio Fernández
author: P. L. García
author: C. Rodrigo
reviewed by: Vicenţiu D. Rădulescu
MaRDI profile type: Publication
cites work: $$D$$ -modules, contact valued calculus and Poincare-Cartan form
cites work: On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields
cites work: Q3290028
cites work: Transformation Groups and Natural Bundles
cites work: Q3678285
cites work: Q3339808
cites work: Q4059578
cites work: Q3685707
cites work: The Hamilton-Cartan formalism in the calculus of variations
cites work: Q4011293
cites work: Q4036977
cites work: Q3334651
cites work: Q3922396
cites work: A geometrical version of the higher order Hamilton formalism in fibred manifolds
cites work: Q3812951
cites work: Q5844243
cites work: Q3689905
cites work: Q3732577
cites work: Poincaré-Cartan forms in higher order variational calculus on fibred manifolds
cites work: Q3700467
cites work: Q5658749
cites work: Natural bundles have finite order
cites work: An alternative approach to the Cartan form in Lagrangian field theories
cites work: Q4176177
Recommended article: Variational principles for energy-momentum tensors
Recommended article: Stress-energy-momentum tensors for natural constrained variational problems
Recommended article: Stress-energy-momentum tensors in constraint field theories
Recommended article: Energy-momentum tensors and stress tensors in geometric field theories
Recommended article: Q4036977
Recommended article: A variation problem for stress-energy tensor
Recommended article: Stress-energy tensors and the Lichnerowicz Laplacian
Recommended article: Q4017069
Recommended article: Q4513451
Recommended article: Q4946167
description: scientific article; zbMATH DE number 1463371