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Topological classes of rotating black holes

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arxiv 2211.15151 v3 pith:LHXOLLMZ submitted 2022-11-28 gr-qc hep-th

Di Wu This is my paper · ORCID
classification gr-qchep-th
keywords blacktopologicalholesrotatingeffectnumberclassesfour-dimensional
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In this paper, we investigate the topological numbers for singly rotating Kerr black holes in arbitrary dimensions and four-dimensional Kerr-Newman black hole. We show that for uncharged black holes, the rotation parameter has a significant effect on the topological number, and for rotating black holes, the dimension of spacetime has a remarkable effect on the topological number too. In addition, we find that the topological numbers of the four-dimensional Kerr and Kerr-Newman black holes are the same, which seems to indicate that the electric charge parameter has no effect on the topological number of rotating black holes. Our current research provides more evidence that the conjecture put forward in Wei et al. [Phys. Rev. Lett. 129, 191101 (2022)], according to which all black hole solutions should be separated into three different topological classes, is accurate, at least in the pure Einstein-Maxwell gravity theory.

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Cited by 4 Pith papers

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

  1. Extended thermodynamical topology of black hole

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    The paper introduces a unified extended thermodynamical topology framework for black holes and claims a correspondence between zeros of higher-order vector fields and critical exponents.

  2. Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with R\'enyi Entropy: An RPST-like formalism

    hep-th 2025-06 conditional novelty 5.0 of 10

    A Rényi-entropy version of the flat 4D-EGB black hole is shown to mimic the phase structure, thermodynamic geometry, and topological class of the AdS 4D-EGB black hole in RPST thermodynamics.

  3. Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

    gr-qc 2026-07 reject novelty 4.0 of 10

    For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.

  4. Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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