Exact Einsteinian Black Hole Solution in Dark Matter Environment

[2607.08792] Exploring Exact Einsteinian Black Hole Physics in Dark Matter Environment: Ray Tracing, Stability, Eikonal QNMs and Thermodynamics Skip to main content Search Submit Donate Log in General Relativity and Quantum Cosmology arXiv:2607.08792 (gr-qc) [Submitted on 7 Jul 2026 ( v1 ), last revised 23 Oct 2026 (this version, v4)] Title: Exploring Exact Einsteinian Black Hole Physics in Dark Matter Environment: Ray Tracing, Stability, Eikonal QNMs and Thermodynamics Authors: David Senjaya View PDF HTML (experimental) Abstract: Motivated by the recent rebuttal of black hole--dark matter solutions based on velocity-matching, we reconstruct the spacetime by treating the dark matter halo density directly as an energy-density source in the Einstein field equations. We obtain an exact static, spherically symmetric black hole solution and investigate the effects of the halo on its geometry, optical properties, quasinormal modes, and thermodynamics. Using null geodesics, we show that the halo modifies photon trajectories, shifts the circular photon orbit, and enlarges the photon sphere and apparent shadow. The Lyapunov exponent of the unstable null orbit further determines the eikonal quasinormal modes, yielding explicit halo-induced corrections to their oscillation and damping rates. We also compute the mass, Hawking temperature, entropy, heat capacity, and Gibbs free energy to characterize the thermodynamic stability and phase structure. We find that the dark matter halo enlarges the domain of thermodynamic stability and introduces nontrivial phase behavior absent in the Schwarzschild case, demonstrating that astrophysical dark matter environments can leave potentially observable imprints on black hole observables. Subjects: General Relativity and Quantum Cosmology (gr-qc) ; High Energy Physics - Theory (hep-th) Cite as: arXiv:2607.08792 [gr-qc] (or arXiv:2607.08792v4 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2607.08792 Focus to learn more arXiv-issued DOI via DataCite Submission history From: David Senjaya [ view email ] [v1] Tue, 7 Jul 2026 11:39:51 UTC (765 KB) [v2] Tue, 25 Aug 2026 03:06:36 UTC (765 KB) [v3] Sun, 11 Oct 2026 04:48:40 UTC (764 KB) [v4] Fri, 23 Oct 2026 03:04:55 UTC (764 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2026-07 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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