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arxiv: 0911.4939 · v3 · pith:MBAHW36Anew · submitted 2009-11-25 · 🌀 gr-qc · astro-ph.HE· hep-th

Relativistic figures of equilibrium: from Maclaurin spheroids to Kerr black holes

classification 🌀 gr-qc astro-ph.HEhep-th
keywords blackholesequilibriumkerranalyticalbodiesconfigurationsconnection
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Analytical and numerical results on equilibrium configurations of rotating fluid bodies within Einstein's theory of gravitation are reviewed. Particular emphasis is placed on continuous parametric transitions to black holes. In this connection the uniqueness of extremal Kerr black holes is discussed.

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