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Using the Ernst formalism, a novel solution of vacuum general relativity (GR) was recently obtained [1], describing a Schwarzschild black hole (BH) immersed in a nonasymptotically flat rotating background, dubbed swirling universe, with the peculiar property that north and south hemispheres spin in opposite directions.
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M. P. Carmo, Geometria diferencial de curvas e superfícies (2005)
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S.-W. Wei, Topological Charge and Black Hole Photon Spheres, Phys. Rev. D 102
2006
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V. P. Frolov, Embedding of the Kerr-Newman black hole surface in Euclidean space, Phys. Rev. D 73
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2008
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V. Bozza, Gravitational Lensing by Black Holes, Gen. Rel. Grav. 42
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2013
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M. Astorino, Embedding hairy black holes in a magnetic universe, Phys. Rev. D 87
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2022
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C. A. R. Herdeiro, Black Holes: On the Universality of the Kerr Hypothesis, Lect. Notes Phys. 1017
2023
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S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time , Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2023)
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