A Bayesian Statistical Study of Bianchi Type-I Universe in f (R, Tψ) Modified Gravity

A Bayesian Statistical Study of Bianchi Type-I Universe in f (R, Tψ) Modified Gravity | 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 A Bayesian Statistical Study of Bianchi Type-I Universe in f (R, T ψ ) Modified Gravity Mohit Thakre, Praveen Kumar Dhankar, Safiqul Islam, Parbati Sahoo, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8864628/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 have examined the cosmological actions of LRS ( Locally Rationally Symmetric ) Bianchi type-I universe model in $f(R,T^\psi)$ gravity. For this, we have estimate Hubble parameter, effective equation of state parameter ($\omega^{\text{eff}}$) and potential of scalar field as a function of time using equation $H=W(\psi)$. The graphical representation of potential function $V(\psi)$ with respect to cosmic time $t$ is described. This study explores the dynamical properties of a Bianchi Type-I universe by utilizing Bayesian statistical techniques to constrain the model parameters and evaluate the viability of anisotropic cosmology under extended matter-geometry couplings. Also, we have applied Markov Chain Monte Carlo (MCMC) mechanism on derived $H(z)$ model by using observational Hubble data (OHD), DESI Baryon Acoustic Oscillation (DESI BAO) dataset and Pantheon Type Ia Supernova dataset. From the confidence–level contours and best–fit parameter values obtained, along with the corresponding reduced $\chi^{2}$, it is evident that the model aligns strongly with observational data, demonstrating statistical stability and consistency in describing late–time cosmic acceleration. Likewise, the error analyses presented in this research, including a comparison between the $\Lambda$CDM cosmology and the reconstructed $H(z)$ model, confirm the model's compatibility with current observations by yielding a reliable and accurate account of the universe's expansion history. Physical sciences/Astronomy and planetary science Physical sciences/Mathematics and computing Physical sciences/Physics Bianchi Type-I f (R Tψ) Modified Gravity Bayesian Statistics 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-8864628","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":597280097,"identity":"e6402d84-f6fe-42bc-b911-c5fb84f1316a","order_by":0,"name":"Mohit Thakre","email":"","orcid":"","institution":"Symbiosis International (Deemed University)","correspondingAuthor":false,"prefix":"","firstName":"Mohit","middleName":"","lastName":"Thakre","suffix":""},{"id":597280098,"identity":"9e30b2fd-635b-48d4-994f-905ed2e6e087","order_by":1,"name":"Praveen Kumar Dhankar","email":"data:image/png;base64,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","orcid":"","institution":"Symbiosis International (Deemed University)","correspondingAuthor":true,"prefix":"","firstName":"Praveen","middleName":"Kumar","lastName":"Dhankar","suffix":""},{"id":597280099,"identity":"2e49cc7d-3e66-4ddc-a150-1a79f5fc892d","order_by":2,"name":"Safiqul Islam","email":"","orcid":"","institution":"King Faisal University","correspondingAuthor":false,"prefix":"","firstName":"Safiqul","middleName":"","lastName":"Islam","suffix":""},{"id":597280100,"identity":"3d40e0db-beda-434b-882b-b4007591d2bc","order_by":3,"name":"Parbati Sahoo","email":"","orcid":"","institution":"Bhadrak Autonomous College, FM University","correspondingAuthor":false,"prefix":"","firstName":"Parbati","middleName":"","lastName":"Sahoo","suffix":""},{"id":597280101,"identity":"1041ba1f-1c69-49d5-8412-b18934bfbcaf","order_by":4,"name":"Farook Rahaman","email":"","orcid":"","institution":"Jadavpur University","correspondingAuthor":false,"prefix":"","firstName":"Farook","middleName":"","lastName":"Rahaman","suffix":""},{"id":597280102,"identity":"dfb770fe-377c-4a14-aa9f-5ed2738625b5","order_by":5,"name":"Behnam Pourhassan","email":"","orcid":"","institution":"Damghan University","correspondingAuthor":false,"prefix":"","firstName":"Behnam","middleName":"","lastName":"Pourhassan","suffix":""}],"badges":[],"createdAt":"2026-02-12 17:24:56","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8864628/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8864628/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105996178,"identity":"828bfbfc-4ca3-4b57-882f-8571a4ff1998","added_by":"auto","created_at":"2026-04-02 09:13:21","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":5796198,"visible":true,"origin":"","legend":"","description":"","filename":"revisedmanuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8864628/v1_covered_b7083ea2-d413-4815-b3ed-b82f8d44505d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eA Bayesian Statistical Study of Bianchi Type-I Universe in \u003cem\u003ef (R, T\u003c/em\u003e\u003csup\u003e\u003cem\u003eψ\u003c/em\u003e\u003c/sup\u003e\u003cem\u003e)\u003c/em\u003e Modified Gravity\u003c/p\u003e","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":"Bianchi Type-I; f (R,Tψ); Modified Gravity; Bayesian Statistics","lastPublishedDoi":"10.21203/rs.3.rs-8864628/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8864628/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We have examined the cosmological actions of LRS ( Locally Rationally Symmetric ) Bianchi type-I universe model in $f(R,T^\\psi)$ gravity. For this, we have estimate Hubble parameter, effective equation of state parameter ($\\omega^{\\text{eff}}$) and potential of scalar field as a function of time using equation $H=W(\\psi)$. The graphical representation of potential function $V(\\psi)$ with respect to cosmic time $t$ is described. This study explores the dynamical properties of a Bianchi Type-I universe by utilizing Bayesian statistical techniques to constrain the model parameters and evaluate the viability of anisotropic cosmology under extended matter-geometry couplings. Also, we have applied Markov Chain Monte Carlo (MCMC) mechanism on derived $H(z)$ model by using observational Hubble data (OHD), DESI Baryon Acoustic Oscillation (DESI BAO) dataset and Pantheon Type Ia Supernova dataset. From the confidence–level contours and best–fit parameter values obtained, along with the corresponding reduced $\\chi^{2}$, it is evident that the model aligns strongly with observational data, demonstrating statistical stability and consistency in describing late–time cosmic acceleration. Likewise, the error analyses presented in this research, including a comparison between the $\\Lambda$CDM cosmology and the reconstructed $H(z)$ model, confirm the model's compatibility with current observations by yielding a reliable and accurate account of the universe's expansion history.","manuscriptTitle":"A Bayesian Statistical Study of Bianchi Type-I Universe in f (R, Tψ) Modified Gravity","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-02-27 08:28:24","doi":"10.21203/rs.3.rs-8864628/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":"365ad975-46ec-4cb3-8234-bd2b3ffd5b0c","owner":[],"postedDate":"February 27th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":63636337,"name":"Physical sciences/Astronomy and planetary science"},{"id":63636338,"name":"Physical sciences/Mathematics and computing"},{"id":63636339,"name":"Physical sciences/Physics"}],"tags":[],"updatedAt":"2026-04-02T09:10:34+00:00","versionOfRecord":[],"versionCreatedAt":"2026-02-27 08:28:24","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8864628","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8864628","identity":"rs-8864628","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}