Komar superpotential
In general relativity, the Komar superpotential, corresponding to the invariance of the Hilbert-Einstein Lagrangian, is the tensor density:
associated with a vector field, and where denotes covariant derivative with respect to the Levi-Civita connection.
The Komar two-form:
where denotes interior product, generalizes to an arbitrary vector field 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.
