Geometric Saturation of the Scale Function in Black-Bounce Spacetimes: Spherical, Planar, and Hyperbolic Transverse Sections

[2606.02393] Geometric Saturation of the Scale Function in Black-Bounce Spacetimes: Spherical, Planar, and Hyperbolic Transverse Sections Skip to main content Search Submit Donate Log in General Relativity and Quantum Cosmology arXiv:2606.02393 (gr-qc) [Submitted on 1 Jun 2026 ( v1 ), last revised 24 Aug 2026 (this version, v2)] Title: Geometric Saturation of the Scale Function in Black-Bounce Spacetimes: Spherical, Planar, and Hyperbolic Transverse Sections Authors: Milko Estrada View PDF HTML (experimental) Abstract: We present a new construction for black-bounce spacetimes based on a deformation of the scale function that acts as a geometric saturation rather than introducing a prescribed constant minimal length, as in conventional black-bounce models. This function encodes the gravitational information of the underlying vacuum counterpart, keeping the geometric quantities of the deformed metric finite in the short-distance region where tidal forces and curvature invariants of the vacuum geometry diverge. The deformation saturates at short scales, suppressing curvature divergences without requiring a potentially unstable de Sitter core. The resulting regular geometries with spherical, planar, and hyperbolic transverse sections describe regular black holes (RBHs), extremal RBHs, and traversable wormholes. A key result is that the deformed geometry remains finite at $l=0$ in all regimes, while, depending on the parameter space, the bounce, identified with the minimum of $R(l)$, may remain in the short-distance region or shift to a larger finite value of $l$. Thus, the deformation regularizes the central region and, in some regimes, also modifies the global spacetime profile. Spherical and planar RBHs satisfy the standard energy conditions near the bounce, showing that a geometric bounce does not necessarily require exotic matter sources in this region. In the hyperbolic case, the energy conditions depend more strongly on the mass parameter, being satisfied near the bounce for positive-mass RBHs but violated for negative-mass and extremal configurations. The hyperbolic sector also admits regular negative-mass black holes. For wormhole geometries, the WEC and NEC are violated near the throat, as expected. Comments: Version with a reformulated physical framework Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) Cite as: arXiv:2606.02393 [gr-qc] (or arXiv:2606.02393v2 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2606.02393 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Milko Estrada [ view email ] [v1] Mon, 1 Jun 2026 15:43:17 UTC (576 KB) [v2] Mon, 24 Aug 2026 20:22:52 UTC (578 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2026-06 Change to browse by: hep-th References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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