[2210.16648] The general static spherical perfect fluid solution with EoS parameter w=-1/6 Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search General Relativity and Quantum Cosmology arXiv:2210.16648 (gr-qc) [Submitted on 29 Oct 2022 ( v1 ), last revised 28 Apr 2026 (this version, v2)] Title: The general static spherical perfect fluid solution with EoS parameter w=-1/6 Authors: İbrahim Semiz View a PDF of the paper titled The general static spherical perfect fluid solution with EoS parameter w=-1/6, by \.Ibrahim Semiz View PDF HTML (experimental) Abstract: The general analytical solution for the static spherically symmetric metric supported by a perfect fluid with proportional-equation-of-state $p = w \rho$ is not known at the time of this writing, except for the trivial cases $w=0$ and $w=-1$; for $w=-1/3$, and the recently reported $w=-1/5$. We show that the case $w=-1/6$ is also analytically solvable, as predicted in another recent work. The solution is affected by a Buchdahl transformation of a known solution. Comments: 11 pages. Added discussions of the spacetimes for all ranges of the parameters. Also added conformal diagrams Subjects: General Relativity and Quantum Cosmology (gr-qc) Cite as: arXiv:2210.16648 [gr-qc] (or arXiv:2210.16648v2 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2210.16648 Focus to learn more arXiv-issued DOI via DataCite Submission history From: İbrahim Semiz [ view email ] [v1] Sat, 29 Oct 2022 16:32:05 UTC (5 KB) [v2] Tue, 28 Apr 2026 18:58:14 UTC (191 KB) Full-text links: Access Paper: View a PDF of the paper titled The general static spherical perfect fluid solution with EoS parameter w=-1/6, by \.Ibrahim Semiz View PDF HTML (experimental) TeX Source view license Current browse context: gr-qc < prev | next > new | recent | 2022-10 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