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Black holes in a swirling universe
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We present a new solution in Einstein's General Relativity representing a Schwarzschild black hole immersed in a rotating universe. Such a solution is constructed analytically by means of the last unexplored Lie point symmetry of the Ernst equations for stationary and axisymmetric spacetimes. This kind of the Ehlers transformation is able to embed any given solution into a rotating background, which is not of NUT type. We analyse the physical properties, ergoregions and geodesics of the new metric, which is regular outside the event horizon and has a well defined thermodynamics. We finally consider the Kerr generalisation.
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Cited by 1 Pith paper
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Kerr--NUT--Levi-Civita geometries from Ernst inversion: axis structure, curvature singularities, and the Manko--Ruiz parameter
Ernst inversion of Kerr–NUT yields a new vacuum metric family whose axis regularity, curvature singularities, and horizon data are governed by the Manko–Ruiz parameter C and the pre-inversion twist β.
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