Characterizations of the Kerr metric |
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Authors: | Walter Simon |
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Affiliation: | (1) Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland;(2) Present address: Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria |
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Abstract: | 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, we obtain a generalization of the Bach tensor to stationary metrics, which vanishes if and only if the solution is Kerr. We also give a new interpretation of the Schwarzschild-to-Kerr-transformation. Our results might be applicable to simplify the proof of the uniqueness theorem for stationary black holes. |
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