Quasinormal modes and continuum response of de Sitter black holes via complex scaling method

[2605.03277] Quasinormal modes and continuum response of de Sitter black holes via complex scaling method Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Theory arXiv:2605.03277 (hep-th) [Submitted on 5 May 2026 ( v1 ), last revised 9 Sep 2026 (this version, v4)] Title: Quasinormal modes and continuum response of de Sitter black holes via complex scaling method Authors: Shoya Ogawa , Okuto Morikawa , Takuya Hirose View a PDF of the paper titled Quasinormal modes and continuum response of de Sitter black holes via complex scaling method, by Shoya Ogawa and 2 other authors View PDF HTML (experimental) Abstract: We apply the complex scaling method to black-hole perturbations in four-dimensional Schwarzschild--de~Sitter (dS) spacetimes. The method converts the outgoing-wave boundary-value problem into a non-Hermitian spectral problem and enables quasinormal-mode poles and the rotated continuum to be treated in a common framework. We focus in particular on the continuum level density, which characterizes the continuum response beyond isolated quasinormal-mode frequencies. Using Regge--Wheeler-type perturbation equations for scalar, electromagnetic, and gravitational fields, we investigate how a nonzero cosmological constant modifies the pole and continuum sectors. We also discuss a possible extension to string-inspired coupled-channel systems, and illustrate that higher-dimensional dS black holes can be treated within the same framework, at least in tensor- and vector-type sectors. Our results indicate that complex scaling offers a useful spectral framework for analyzing both quasinormal modes and continuum response in black-hole physics. Comments: 35 pages, 19 figures, 2 tables Subjects: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc); Quantum Physics (quant-ph) Report number: RIKEN-iTHEMS-Report-26 Cite as: arXiv:2605.03277 [hep-th] (or arXiv:2605.03277v4 [hep-th] for this version) https://doi.org/10.48550/arXiv.2605.03277 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Shoya Ogawa [ view email ] [v1] Tue, 5 May 2026 02:09:06 UTC (477 KB) [v2] Thu, 14 May 2026 09:18:02 UTC (478 KB) [v3] Sat, 15 Aug 2026 07:11:03 UTC (856 KB) [v4] Wed, 9 Sep 2026 06:48:48 UTC (856 KB) Full-text links: Access Paper: View a PDF of the paper titled Quasinormal modes and continuum response of de Sitter black holes via complex scaling method, by Shoya Ogawa and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2026-05 Change to browse by: gr-qc quant-ph 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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