Characterizations of the Kerr metric

Details Characterizations of the Kerr metric Characterizations of the Kerr metric

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..465s&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, May 1984, p. 465-476.

Astronomy and Astrophysics

Astronomy

24

Black Holes (Astronomy), Einstein Equations, Metric Space, Space-Time Functions, Field Theory (Physics), Schwarzschild Metric, Uniqueness Theorem

Scientific paper

For stationary, asymptotically flat solutions of Einstein's equations, covariant functionals of the metric variables are defined which characterize the Kerr metric uniquely. For instance, a generalization of the Bach tensor to stationary metrics is obtained which vanishes if and only if the solution is Kerr. A new interpretation of the Schwarzschild-to-Kerr-transformation is also given. These results might be applicable to simplify the proof of the uniqueness theorem for stationary black holes.

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