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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.

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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.

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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.
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Issue or Number:9
Classification Code:PACS numbers: 0420, 0465
Record Number:CaltechAUTHORS:20180511-160335192
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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
Deposited By: George Porter
Deposited On:14 May 2018 17:02
Last Modified:12 Jul 2022 19:50

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