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

S Deser-+, J S Franklin-+ and D Seminara-+,++

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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, Bµnualphabeta, and as the `current-current interaction' square of gravitational energy pseudo-tensors talphabeta, we find an exact tensor-square root equality , for a combination of Einstein and Landau-Lifschitz talphabeta, 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.


PACS

04.20.-q Classical general relativity

04.65.+e Supergravity

04.60.-m Quantum gravity

MSC

83C40 Gravitational energy and conservation laws; groups of motions

83E50 Supergravity

Subjects

Gravitation and cosmology

Dates

Issue 9 (September 1999)

Received 7 May 1999



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