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The Bel-Robinson tensor $B$ and the tensor $V$ have the same quasilocalenergy-momentum in a small sphere. Using a pseudotensor approach to evaluatethe energy-momentum in a half-cylinder, we find that $B$ and $V$ have differentvalues, not proportional to the "Bel-Robinson energy-momentum". Furthermore,even if we arrange things so that we do get the same "Bel-Robinsonenergy-momentum" value, the angular momentum gives different values using $B$and $V$ in a half cylinder. In addition, we find that $B$ and $V$ have adifferent number of independent components. The fully trace free property of$B$ and $V$ implies conservation of pure "Bel-Robinson energy-momentum" insmall regions, and vice versa. In addition, we also demonstrate the tidalheating, rate of change of momentum and spin angular momentum flux by usingthese two tensors.

Quasilocal energy-momentum for tensors B and V in small regions