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Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality

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arxiv 2404.17267 v1 pith:MDKIKGTW submitted 2024-04-26 gr-qc astro-ph.HEhep-th

Salvatore Capozziello , Silvia De Bianchi , Emmanuele Battista This is my paper · ORCID
classification gr-qcastro-ph.HEhep-th
keywords atemporalityblackholelorentzian-euclideanmechanismmetricregularizedtime
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We investigate a Schwarzschild metric exhibiting a signature change across the event horizon, which gives rise to what we term a Lorentzian-Euclidean black hole. The resulting geometry is regularized by employing the Hadamard partie finie technique, which allows us to prove that the metric represents a solution of vacuum Einstein equations. In this framework, we introduce the concept of atemporality as the dynamical mechanism responsible for the transition from a regime with a real-valued time variable to a new one featuring an imaginary time. We show that this mechanism prevents the occurrence of the singularity and, by means of the regularized Kretschmann invariant, we discuss in which terms atemporality can be considered as the characteristic feature of this black hole.

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Cited by 6 Pith papers

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

  1. Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations

    hep-th 2025-12 conditional novelty 5.0 of 10

    Tensionless p-branes and branes in degenerate-metric spacetimes admit symmetry transformations built from Killing tensors of arbitrary rank, extending string W-symmetries to all brane dimensions.

  2. Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

    gr-qc 2025-07 reject novelty 5.0 of 10

    In the Lorentzian-Euclidean black hole, photons and massive particles are claimed to be unable to cross the event horizon, making the spacetime geodesically complete and avoiding the central singularity.

  3. Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm

    gr-qc 2025-02 reject novelty 5.0 of 10

    A covariant Moore-Penrose algorithm for complex degenerate metrics is formulated, but its uniqueness and torsion interpretation depend on an arbitrary auxiliary metric and the central proof is incomplete.

  4. Regular Black Hole Formation and Gamma-Ray Burst from Matter Conversion

    gr-qc 2026-07 conditional novelty 4.0 of 10

    The formation of a regular black hole could release gamma-ray-burst-scale energy only if its singularity-avoiding core is a weak perturbation of Schwarzschild.

  5. Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model

    gr-qc 2026-03 conditional novelty 4.0 of 10

    PINLED Y^n black holes have charge-driven inward shifts of photon sphere, shadow, and ISCO, with null-geodesic observables distinguishing them from RN more clearly than timelike ones.

  6. Formation of regular black hole from baryonic matter

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A family of regular black hole collapse solutions is built by imposing a de Sitter core and matching to a Husain exterior; the shadow radius grows with the barotropic parameter alpha.

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