A note on matter superenergy tensors

DOI10.1088/0264-9381/20/15/102zbMATH Open1108.83300arXivgr-qc/0304095OpenAlexW2035429322MaRDI QIDQ4460987

Stanley Deser

Publication date: 29 March 2004

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: We consider Bel-Robinson-like higher derivative conserved two-index tensors $H_{m}n$ in simple matter models, following a recently suggested Maxwell field version. In flat space, we show that they are essentially equivalent to the true stress-tensors. In curved Ricci-flat backgrounds it is possible to redefine $H_{m}n$ so as to overcome non-commutativity of covariant derivatives, and maintain conservation, but they become model- and dimension- dependent, and generally lose their simple "BR" form.

Full work available at URL: https://arxiv.org/abs/gr-qc/0304095

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (6)

Notes on super Killing tensors ⋮ Old and new results for superenergy tensors from dimensionally dependent tensor identities ⋮ Positivity and conservation of superenergy tensors ⋮ Positivity of general superenergy tensors ⋮ Super-energy tensor for space–times with vanishing scalar curvature ⋮ Superenergy and angular supermomentum tensors in general relativity

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