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Bel-Robinson as stress-tensor gradients and their extensions to massive matter

Deser, S. and Franklin, J. (2015) Bel-Robinson as stress-tensor gradients and their extensions to massive matter. General Relativity and Gravitation, 47 (6). Art. No. 68. ISSN 0001-7701. doi:10.1007/s10714-015-1909-1.

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We show that the Bel–Robinson (BR) tensor is—generically, as well as in its original GR setting—an autonomously conserved part of the, manifestly conserved, double gradient of a system’s stress-tensor. This suggests its natural extension from GR to matter models, first to (known) massless scalars and vectors, then to massive ones, including tensors. These massive versions are to be expected, given that they arise upon KK reduction of massless D+1D+1 ones. We exhibit the resulting spin (0,1,2)(0,1,2) “massive” BR.

Item Type:Article
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URLURL TypeDescription Paper ReadCube access
Deser, S.0000-0001-9285-9434
Alternate Title:Bel-Robinson as stress-tensor gradients and their extensions to massive spin (0,1,2)
Additional Information:© 2015 Springer Science+Business Media New York. Submitted 12 March 2015. SD was supported in part by Grants NSF PHY-1266107 and DOE # DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Bel–Robinson tensor, Stress tensor, Proca, Fierz–Pauli
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Issue or Number:6
Record Number:CaltechAUTHORS:20150316-143151667
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55811
Deposited By: Joy Painter
Deposited On:16 Mar 2015 21:53
Last Modified:10 Nov 2021 20:50

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