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.

Graviton graviton scattering, Bel-Robinson and energy (pseudo)-tensors / S. DESER; J. S. FRANKLIN; D. SEMINARA. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 16(1999), pp. 2815-2821. [10.1088/0264-9381/16/9/301]

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

SEMINARA, DOMENICO
1999

Abstract

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.
16
2815
2821
S. DESER; J. S. FRANKLIN; D. SEMINARA
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/223004
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