Energy-momentum tensors in classical field theories - a modern perspective

Abstract

The paper presents a general geometric approach to energy-momentum tensors in Lagrangian field theories, based on a Hilbert-type definition. The approach is consistent with the ones defining energy-momentum tensors in terms of hypermomentum maps given by the diffeomorphism invariance of the Lagrangian - and, in a sense, complementary to these, with the advantage of an increased simplicity of proofs and also, opening up new insights into the topic. A special attention is paid to the particular cases of metric and metric-affine theories.

References in corpus (4)

• Currents and the Energy-Momentum Tensor in Classical Field Theory: A fresh look at an Old Problem
• Conservation laws in gravity: A unified framework
• Canonical variational completion of differential equations
• Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration

Cited by in corpus (4)

• Mathematical foundations for field theories on Finsler spacetimes
• Relativistic kinetic gases as direct sources of gravity
• Multisymplectic unified formalism for Einstein-Hilbert Gravity
• An exterior-algebraic derivation of the symmetric stress-energy-momentum tensor in flat space-time