149 research outputs found
Differential Invariants of the Kerr Vacuum
The norms associated with the gradients of the two non-differential
invariants of the Kerr vacuum are examined. Whereas both locally single out the
horizons, their global behavior is more interesting. Both reflect the
background angular momentum as the volume of space allowing a timelike gradient
decreases with increasing angular momentum becoming zero in the degenerate and
naked cases. These results extend directly to the Kerr-Newman geometry.Comment: 12 pages 8 figures. Much more information at
http://grtensor.org/diffweyl
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