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Graviton-graviton scattering, Bel-Robinson and energy (pseudo)-tensors

Deser, S. and Franklin, J. S. and Seminara, D. (1999) Graviton-graviton scattering, Bel-Robinson and energy (pseudo)-tensors. Classical and Quantum Gravity, 16 (9). pp. 2815-2821. ISSN 0264-9381. doi:10.1088/0264-9381/16/9/301. https://resolver.caltech.edu/CaltechAUTHORS:20180511-160335192

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Abstract

Motivated by recent work involving the graviton-graviton tree scattering amplitude, and its twin descriptions as the square of the Bel-Robinson tensor, B_(µναβ), and as the 'current-current interaction' square of gravitational energy pseudo-tensors t_(αβ), we find an exact tensor-square root equality B_(µναβ)= ((∂2)/(µν))t_(αβ), for a combination of Einstein and Landau-Lifschitz t_(αβ), in Riemann normal coordinates. In the process, we relate, on-shell, the usual superpotential basis for classifying pseudo-tensors with one spanned by polynomials in the curvature.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/0264-9381/16/9/301DOIArticle
ORCID:
AuthorORCID
Deser, S.0000-0001-9285-9434
Additional Information:© 1999 IOP Publishing. Received 7 May 1999. This work was supported by NSF grants PHY93-18511 and 99-73935.
Funders:
Funding AgencyGrant Number
NSFPHY93-18511
NSFPHY99-73935
Issue or Number:9
Classification Code:PACS numbers: 0420, 0465
DOI:10.1088/0264-9381/16/9/301
Record Number:CaltechAUTHORS:20180511-160335192
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180511-160335192
Official Citation:S Deser et al 1999 Class. Quantum Grav. 16 2815
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86380
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:14 May 2018 17:02
Last Modified:15 Nov 2021 20:38

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