Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

[2501.12213] Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search General Relativity and Quantum Cosmology arXiv:2501.12213 (gr-qc) [Submitted on 21 Jan 2025 ( v1 ), last revised 14 Apr 2026 (this version, v2)] Title: Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms Authors: Dong Liu , Yi Yang , Zheng-wen Long View a PDF of the paper titled Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms, by Dong Liu and 2 other authors View PDF HTML (experimental) Abstract: The supermassive black holes at the centers of galaxies may be surrounded by dark matter spike, which could leave detectable imprints on the gravitational wave signals they emit. In this work, combining the mass model of M87, we present black hole analytical solutions in dark matter spike from the Tolman-Oppenheimer-Volkof equations. Meanwhile, the gravitational waves emitted at the ringdown phase of the black holes under the axial gravitational perturbation is investigated, and compare them with the Schwarzschild black hole. The main research methods are time domain integration method and continued fraction method. Besides, the impact of the different dark matter parameters on the quasinormal frequencies is investigated and its detectability on these impacts based on the space-based detectors. Our results indicate that the impacts of dark matter spike on the quasinormal frequencies of black holes can reach up to the order of $10^{-4}$. These results may provide some help in further exploring the impact of dark matter spike on the black holes and their related gravitational wave phenomena. Subjects: General Relativity and Quantum Cosmology (gr-qc) Cite as: arXiv:2501.12213 [gr-qc] (or arXiv:2501.12213v2 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2501.12213 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Dong Liu [ view email ] [v1] Tue, 21 Jan 2025 15:30:36 UTC (531 KB) [v2] Tue, 14 Apr 2026 00:30:19 UTC (564 KB) Full-text links: Access Paper: View a PDF of the paper titled Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms, by Dong Liu and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2025-01 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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