Lagrangian field theories of geometric objects are the most natural framework for investigating the notion of general covariance. We discuss here geometric theories of interacting fields, depending on Lagrangians of arbitrary order, and we give general definitions of energy flow, partial energy flows, energy-momentum tensors, and stress tensors. We also investigate the role which energy-momentum tensors and stress tensors play in formulating the natural conservation laws associated with the second theorem of Noether. Examples of application may be found elsewhere.

Energy-momentum tensors and stress tensors in geometric field theories

FERRARIS, Marco;FRANCAVIGLIA, Mauro
1985-01-01

Abstract

Lagrangian field theories of geometric objects are the most natural framework for investigating the notion of general covariance. We discuss here geometric theories of interacting fields, depending on Lagrangians of arbitrary order, and we give general definitions of energy flow, partial energy flows, energy-momentum tensors, and stress tensors. We also investigate the role which energy-momentum tensors and stress tensors play in formulating the natural conservation laws associated with the second theorem of Noether. Examples of application may be found elsewhere.
1985
26 (6)
1243
1252
http://link.aip.org/link/?JMAPAQ/26/1243/1
energy−momentum tensor; lagrangian field theory; stresses; energy transport; flow stress; conservation laws; basic interactions; invariance principles; mathematical manifolds; field equations; space−time; configuration interaction; vector fields; integrals; gravitation; transformations; symmetry breaking; coupling; geometry; fiber bundles; topological mapping
M. FERRARIS; M. FRANCAVIGLIA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/5053
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