Published June 2015 | Version Submitted
Journal Article Open

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

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Brandeis University
  • 3. ROR icon Reed College

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.

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.

Attached Files

Submitted - 1503.03814v1.pdf

Files

1503.03814v1.pdf

Files (79.0 kB)

Name Size
md5:d7aae2a81683f5bb02fda4f38ccb456d
79.0 kB Preview Download

Additional details

Additional titles

Alternative title
Bel-Robinson as stress-tensor gradients and their extensions to massive spin (0,1,2)

Identifiers

Eprint ID
55811
Resolver ID
CaltechAUTHORS:20150316-143151667

Related works

Funding

NSF
PHY-1266107
Department of Energy (DOE)
DE-SC0011632

Dates

Created
2015-03-16
Created from EPrint's datestamp field
Updated
2021-11-10
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Walter Burke Institute for Theoretical Physics
Other Numbering System Name
CALT-TH
Other Numbering System Identifier
2015-001