Jeans instability in fourth-order gravity in application to astrocosmic structure formation

Jeans instability in fourth-order gravity in application to astrocosmic structure formation | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Jeans instability in fourth-order gravity in application to astrocosmic structure formation Mritunjoy Das, Pralay Kumar Karmakar, Ayush Hazarika This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7824098/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract We investigate the non-local gravitational (Jeans) instability dynamics in infinitely extended polytropic viscoelastic self-gravitating astrocosmic fluids. The classical gravitational theory, moderated with higher-order corrections via the fourth-order gravity (FOG)-driven biharmonic gravitational Poisson equation, against the traditional (Newtonian) uniharmonic picture is employed. It systematically incorporates thermal fluctuations, viscoelasticity, volumetric expansion, etc. Application of local linear normal mode treatment here results in a multi-parametric generalized linear cubic dispersion relation. The constructed numerical platform reveals mainly that the free length parameter \(\:\left(L\right)\) , introduced by the corrective FOG framework, significantly influences the stability behaviours towards structure formation. It illustratively highlights the stabilizing (destabilizing) and accelerating (decelerating) roles of various relevant physical parameters influencing astrocosmic structurization, followed justifiably by reliability and validation analyses. Physical sciences/Mathematics and computing Physical sciences/Physics fourth-order gravity polytropic astrofluids Jeans instability structure formation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7824098","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":535618199,"identity":"155ee612-b6d0-49cc-afd2-47f149177640","order_by":0,"name":"Mritunjoy Das","email":"","orcid":"","institution":"Tezpur University","correspondingAuthor":false,"prefix":"","firstName":"Mritunjoy","middleName":"","lastName":"Das","suffix":""},{"id":535618200,"identity":"6a73a99d-4b2c-44d4-991f-83d5a21c85ec","order_by":1,"name":"Pralay Kumar 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formation","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"fourth-order gravity, polytropic astrofluids, Jeans instability, structure formation","lastPublishedDoi":"10.21203/rs.3.rs-7824098/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7824098/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe investigate the non-local gravitational (Jeans) instability dynamics in infinitely extended polytropic viscoelastic self-gravitating astrocosmic fluids. The classical gravitational theory, moderated with higher-order corrections via the fourth-order gravity (FOG)-driven biharmonic gravitational Poisson equation, against the traditional (Newtonian) uniharmonic picture is employed. It systematically incorporates thermal fluctuations, viscoelasticity, volumetric expansion, etc. Application of local linear normal mode treatment here results in a multi-parametric generalized linear cubic dispersion relation. The constructed numerical platform reveals mainly that the free length parameter \u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\:\\left(L\\right)\\)\u003c/span\u003e\u003c/span\u003e, introduced by the corrective FOG framework, significantly influences the stability behaviours towards structure formation. It illustratively highlights the stabilizing (destabilizing) and accelerating (decelerating) roles of various relevant physical parameters influencing astrocosmic structurization, followed justifiably by reliability and validation analyses.\u003c/p\u003e","manuscriptTitle":"Jeans instability in fourth-order gravity in application to astrocosmic structure formation","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-10-30 09:37:38","doi":"10.21203/rs.3.rs-7824098/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"9f137291-4d7e-4bce-b1df-44e7ac6a4fb3","owner":[],"postedDate":"October 30th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":56947415,"name":"Physical sciences/Mathematics and computing"},{"id":56947416,"name":"Physical sciences/Physics"}],"tags":[],"updatedAt":"2025-12-02T13:27:16+00:00","versionOfRecord":[],"versionCreatedAt":"2025-10-30 09:37:38","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7824098","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7824098","identity":"rs-7824098","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}