Obstructions to Minimal Regular Black Hole Cosmologies

[2606.25023] Obstructions to Minimal Regular Black Hole Cosmologies Skip to main content Search Submit Donate Log in General Relativity and Quantum Cosmology arXiv:2606.25023 (gr-qc) [Submitted on 23 Jun 2026 ( v1 ), last revised 31 Jul 2026 (this version, v3)] Title: Obstructions to Minimal Regular Black Hole Cosmologies Authors: Damien A. Easson View PDF HTML (experimental) Abstract: We derive an obstruction to Friedmann--Lemaître--Robertson--Walker (FLRW) daughter cosmologies from static, asymptotically flat regular black holes. The trapped region of such a parent is Kantowski--Sachs rather than FLRW, so the daughter must be introduced as a separate matched region. For closed daughters, the angular Darmois condition is controlled by the Misner--Sharp mass: asymptotic flatness and finite ADM mass force the induced density to decay as $A^{-3}$, while the $k=+1$ curvature term scales as $A^{-2}$. The minimal closed branch is therefore bounded rather than indefinitely expanding. Flat and open daughters avoid this boundedness mechanism. For their maximal homogeneous FLRW continuations, the regular-end affine-ANEC theorem excludes simultaneous non-staticity, curvature regularity, null geodesic completeness, and ANEC consistency. For Bardeen, the parent source does not naturally supply the late-time support needed for an unbounded closed daughter. Within these criteria, a viable FLRW daughter therefore requires additional structure, such as modified asymptotics, nonminimal matching, non-FLRW evolution, or an additional stress-energy component. Comments: Version to appear in PRD; 25 pages, 1 figure Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) Cite as: arXiv:2606.25023 [gr-qc] (or arXiv:2606.25023v3 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2606.25023 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1103/qs86-npwk Focus to learn more DOI(s) linking to related resources Submission history From: Damien A. Easson [ view email ] [v1] Tue, 23 Jun 2026 18:00:01 UTC (53 KB) [v2] Mon, 20 Jul 2026 18:02:09 UTC (69 KB) [v3] Fri, 31 Jul 2026 19:29:53 UTC (69 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)

Related documents

• Obstructions to Minimal Regular Black Hole Cosmologies#670651
• Cosmology with a Non-minimally Coupled Dark Matter Fluid II. Cosmological Perturbations#1156411
• Initial clustering of primordial black holes: A general formulation for arbitrary local non-Gaussianity#998843
• The Origin Story at the End of the Universe: An Empirical Inquiry into a Cosmology of Problems#241974
• Kruglov-entropy cosmology from apparent-horizon thermodynamics: background dynamics and observational constraints#1106125