Differential Invariants of the Kerr Vacuum
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0308038,
title = {Differential Invariants of the Kerr Vacuum},
author = {Kayll Lake},
journal= {arXiv preprint arXiv:gr-qc/0308038},
year = {2009}
}
Comments
12 pages 8 figures. Much more information at http://grtensor.org/diffweyl/