Renyi Holographic dark energy models in Saez-Ballester theory of gravitation | 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 Research Article Renyi Holographic dark energy models in Saez-Ballester theory of gravitation K. V.S. Sireesha, P. E. Satyanarayana This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3969986/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 construct anisotropic and spatially homogeneous Renyi holographic dark energy (RHDE) models in this research's Saez and Ballester scalar-tensor of gravity. As IR cutoff, we examine both the Hubble and Granda Oliveros horizons. To provide a deterministic solution to the model's field equations, we assume a relationship of the metric potentials, which results in an accelerated expansion. We get several crucial cosmological parameters such as Hubble, deceleration, and Equation of state, as well as \({w}_{de}- {w}_{de}^{{\prime }}\) planes, to explore the physical behaviour of our dark energy models. Furthermore, the squared speed of sound provides stability for the RHDE model with the Hubble horizon but unstable behaviour for the RHDE model with the Granda-Oliveros horizon. In both models, State finder diagnostic and the deceleration parameters represents the rapid expansion of the cosmos and corresponds to the \({\Lambda }\) CDM model. Bianchi Type-II VIII & IX metric Saez-Ballester theory Renyi Holographic dark energy 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-3969986","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":273695971,"identity":"6f650655-5ea1-49b0-a4ae-1bf367323590","order_by":0,"name":"K. V.S. 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