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

  title={Graviton-graviton scattering, Bel-Robinson and energy (pseudo)-tensors},
  author={Stanley Deser and J. S. Franklin and Domenico Seminara},
  journal={Classical and Quantum Gravity},
Motivated by recent work involving the graviton-graviton tree scattering amplitude, and its twin descriptions as the square of the Bel-Robinson tensor, Bµ, and as the `current-current interaction' square of gravitational energy pseudo-tensors t, we find an exact tensor-square root equality , for a combination of Einstein and Landau-Lifschitz t, in Riemann normal coordinates. In the process, we relate, on-shell, the usual superpotential basis for classifying pseudo-tensors with one spanned by… 

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