Ja n 20 09 An alternative non - negative gravitational energy tensor to the Bel - Robinson tensor Lau Loi

The Bel-Robinson tensor B αβµν gives a positive definite gravitational energy in the small sphere limit approximation. However, there is an alternative tensor V αβµν which was proposed recently that offers the same positivity as B αβµν does. These two tensors are a basis for expressions which have the desirable non-negative gravitational energy in the small sphere region limit.