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Black holes in a swirling universe

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arxiv 2205.13548 v4 pith:UGMB5M76 submitted 2022-05-26 gr-qc astro-ph.HEhep-th

Black holes in a swirling universe

classification gr-qc astro-ph.HEhep-th
keywords solutionblackrotatinguniverseableanalyseanalyticallyaxisymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries

    gr-qc 2026-06 unverdicted novelty 7.0

    Unique quasi-topological theories with first-order equations are found for Taub-NUT, NHEK, swirling and related 4D symmetric metrics, enabling closed-form solutions and regular black holes from high-order curvature co...

  2. Kerr--NUT--Levi-Civita geometries from Ernst inversion: axis structure, curvature singularities, and the Manko--Ruiz parameter

    gr-qc 2026-07 accept novelty 6.0

    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.

  3. Black holes in rotating, electromagnetic backgrounds and topological Kerr-Newman-NUT spacetimes

    gr-qc 2026-04 unverdicted novelty 6.0

    Essentially all known analytical exact single black hole solutions in four-dimensional Einstein-Maxwell theory belong to the accelerating Kerr-Newman-NUT family placed in backgrounds that are subcases of the conjugate...