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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. https://resolver.caltech.edu/CaltechAUTHORS:20150316-143151667

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Abstract

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s10714-015-1909-1DOIArticle
http://link.springer.com/article/10.1007/s10714-015-1909-1PublisherArticle
http://arxiv.org/abs/1503.03814arXivDiscussion Paper
http://rdcu.be/ttcWPublisherFree ReadCube access
ORCID:
AuthorORCID
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
Funders:
Funding AgencyGrant Number
NSFPHY-1266107
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Bel–Robinson tensor, Stress tensor, Proca, Fierz–Pauli
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2015-001
Issue or Number:6
Record Number:CaltechAUTHORS:20150316-143151667
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150316-143151667
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55811
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:16 Mar 2015 21:53
Last Modified:03 Oct 2019 08:08

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