Massive particle surfaces and black hole shadows from intrinsic curvature

[2503.21203] Massive particle surfaces and black hole shadows from intrinsic curvature Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search General Relativity and Quantum Cosmology arXiv:2503.21203 (gr-qc) [Submitted on 27 Mar 2025 ( v1 ), last revised 10 Mar 2026 (this version, v2)] Title: Massive particle surfaces and black hole shadows from intrinsic curvature Authors: Boris Bermúdez-Cárdenas , Oscar Lasso Andino View a PDF of the paper titled Massive particle surfaces and black hole shadows from intrinsic curvature, by Boris Berm\'udez-C\'ardenas and Oscar Lasso Andino View PDF HTML (experimental) Abstract: In a recent article PRD 111, 064001 (2025) a new geometric a approach for studying massive particle surfaces was proposed. Using the Gaussian and geodesic curvatures of a two dimensional Riemannian metric a criteria for the existence of massive particle surfaces was provided. In this work we generalize these results by including stationary spacetime metrics. We surmount the difficulty of having a Jacobi metric of the Randers-Finsler type by using a $2$-dimensional Riemannian metric that is obtained by projecting the spacetime metric over the directions of its Killing vectors. We provide a condition for the existence of massive particle surfaces and a simple characterization for null and timelike trajectories only by using intrinsic curvatures of that $2$-dimensional Riemannian surface. We study the massive particle surfaces of spacetimes that are not an asymptotically flat. We show that the Riemannian formalism can be used to study the shadows of the associated black holes. We show the existence of massive particle surfaces for the Kerr metric, the Kerr-(A)dS metric and for a solution of the Einsten-Maxwell-dilaton theory. Comments: 31 pages Subjects: General Relativity and Quantum Cosmology (gr-qc) Cite as: arXiv:2503.21203 [gr-qc] (or arXiv:2503.21203v2 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2503.21203 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Eur.Phys.J.C 85 (2025) 11, 1266 Related DOI : https://doi.org/10.1140/epjc/s10052-025-15009-9 Focus to learn more DOI(s) linking to related resources Submission history From: Oscar Lasso Andino [ view email ] [v1] Thu, 27 Mar 2025 06:45:23 UTC (17 KB) [v2] Tue, 10 Mar 2026 05:04:14 UTC (300 KB) Full-text links: Access Paper: View a PDF of the paper titled Massive particle surfaces and black hole shadows from intrinsic curvature, by Boris Berm\'udez-C\'ardenas and Oscar Lasso Andino View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2025-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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) Major funding support from

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