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Geodesic incompleteness of some popular regular black holes

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arxiv 2208.02557 v2 pith:5DEB3LQ2 submitted 2022-08-04 gr-qc hep-thmath-phmath.MP

Tian Zhou , Leonardo Modesto This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords blackgeodeticallyspacetimescompleteextensionextensionsgeodesicgeodesics
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Throughout the study of the geodesics of some popular spherically symmetric regular black holes, we hereby prove that the analytically extended Hayward black hole is geodetically incomplete. The simplest extension of the Culetu-Simpson-Visser's non-analytic smooth black hole is also geodetically incomplete, with the exception of the antipodal continuation of the radial geodesics. However, the huge ambiguity in the extension of non analytic spacetimes is tantamount of geodesic incompleteness and such spacetimes do not solve the singularity issue unless at least all the extensions turn out to be complete. Hence, we provide several mere modifications of such spacetimes in order to make them geodetically complete in all possible extensions beyond r=0.

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Cited by 5 Pith papers

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

  1. A parity selection rule for regular black holes

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    Spherically symmetric gravity theories can carry generic matter through a regular center only if their defining functions have GR-like parity (α even, β odd in r), equivalent at the metric level to f(−r,−M)=f(r,M); Ha...

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  3. On the logarithmic Love number of black holes beyond general relativity

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  4. Constructing regular black holes from multi-polytropic equations of state

    gr-qc 2025-02 reject novelty 5.0 of 10

    Two regular black hole metrics are derived from anisotropic multi-polytropic TOV equations; one reduces to the known Hayward geometry and the other is new, with repulsive-gravity regions outside the horizon for partic...

  5. Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.

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