Komar superpotential

In general relativity, the Komar superpotential, corresponding to the invariance of the Hilbert–Einstein Lagrangian formula_1, is the tensor density:
associated with a vector field formula_3, and where formula_4 denotes covariant derivative with respect to the Levi-Civita connection.
The Komar two-form:
where formula_6 denotes interior product, generalizes to an arbitrary vector field formula_7 the so-called above Komar superpotential, which was originally derived for timelike Killing vector fields.
Komar superpotential is affected by the anomalous factor problem: In fact, when computed, for example, on the Kerr–Newman solution, produces the correct angular momentum, but just one-half of the expected mass.