期刊
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
卷 13, 期 8, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887816400016
关键词
Stress-energy-momentum tensor; energy-momentum balance law; Lepage equivalent of a Lagrangian
The paper presents a general geometric approach to energy-momentum tensors in Lagrangian field theories, based on a global 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 on the topic. A special attention is paid to the particular cases of metric and metric-affine theories.
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