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_µ, 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 polynomials in the curvature.

PACS numbers: 0420, 0465

Print publication: Issue 9 (September 1999)
Received 7 May 1999