Differential Invariants of the Kerr Vacuum

Details Differential Invariants of the Kerr Vacuum Differential Invariants of the Kerr Vacuum

2003-08-12

arxiv.org/abs/gr-qc/0308038v1

Gen.Rel.Grav. 36 (2004) 1159

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages 8 figures. Much more information at http://grtensor.org/diffweyl/

Scientific paper

10.1023/B:GERG.0000018282.42275.

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.

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