Abstract
The equilibrium configurations between a Schwarzschild black hole and a hyperextreme Kerr object are shown to be described by a three-parameter subfamily of the extended double-Kerr solution. For this subfamily we provide a physical representation which employs as arbitrary parameters the individual Komar masses and relative coordinate distance between the sources. The calculation of horizon’s local angular velocity induced in the Schwarzschild black hole by the Kerr constituent yields a simple expression inversely proportional to the square of the distance parameter.
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Acknowledgments
We are grateful to Professor M.A. Shamsutdinov for a useful suggestion, and to Professor W.G. Unruh for valuable remarks on an earlier version of the paper, especially for suggesting an application involving the Earth’s gravity. This work was partially supported by CONACyT, Mexico, and by MCyT of Spain under the Project FIS2009-07238.
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Manko, V.S., Ruiz, E. Schwarzschild black hole levitating in the hyperextreme Kerr field. Gen Relativ Gravit 44, 2891–2899 (2012). https://doi.org/10.1007/s10714-012-1429-1
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DOI: https://doi.org/10.1007/s10714-012-1429-1