Love-C relations for elastic hybrid stars

Love-C relations for elastic hybrid stars | 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 Love-C relations for elastic hybrid stars Zoey Zhiyuan Dong, Joshua Cole Faggert, Shu Yan Lau, Kent Yagi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4549022/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 30 Sep, 2024 Read the published version in General Relativity and Gravitation → Version 1 posted 10 You are reading this latest preprint version Abstract Neutron stars (NSs) provide a unique laboratory to study matter under extreme densities. Recent observations from gravitational and electromagnetic waves have enabled constraints on NS properties, such as tidal deformability (related to the tidal Love number) and stellar compactness. Although each of these two NS observables depends strongly on the stellar internal structure, the relation between them (called the Love-C relation) is known to be equation-of-state insensitive. In this study, we investigate the effects of a possible crystalline phase in the core of hybrid stars (HSs) on the mass-radius and Love-C relations, where HSs are a subclass of NS models with a quark matter core and a nuclear matter envelope with a sharp phase transition in between. We find that both the maximum mass and the corresponding radius increase as one increases the stiffness of the quark matter core controlled by the speed of sound, while the density discontinuity at the nuclear-quark matter transition effectively softens the equations of state. Deviations of the Love-C relation for elastic HSs from that of fluid NSs become more pronounced with a larger shear modulus, lower transition pressure, and larger density gap and can be as large as 60%. These findings suggest a potential method for testing the existence of distinct phases within HSs, though deviations are not large enough to be detected with current measurements of the tidal deformability and compactness. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 30 Sep, 2024 Read the published version in General Relativity and Gravitation → Version 1 posted Editorial decision: Revision requested 18 Jul, 2024 Reviews received at journal 18 Jul, 2024 Reviews received at journal 16 Jul, 2024 Reviewers agreed at journal 19 Jun, 2024 Reviewers agreed at journal 18 Jun, 2024 Reviewers agreed at journal 18 Jun, 2024 Reviewers invited by journal 11 Jun, 2024 Editor assigned by journal 10 Jun, 2024 Submission checks completed at journal 10 Jun, 2024 First submitted to journal 08 Jun, 2024 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. 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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-4549022","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":316307283,"identity":"52c6f253-8c80-4a80-9665-e58307967018","order_by":0,"name":"Zoey Zhiyuan Dong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABD0lEQVRIiWNgGAWjYDCCA0DM2CABYX8wkJADMx4QqYXx4YwKC2OwYAJhLWAmszHHmYpEMBufFr7jvYdf/txhkbjh+Nlj0oxtEunzww4/BNpiJ6fbgF2L5JlzaRaSZyQSN5zJS5MubJPI3Xg7zQCoJdnY7AB2LQY3cswMDNuAWg7kmEnPBGmZnQDSciBxGz4tiSAt59+YSfMCHWY4O/0DIS3GDw6CtAAZxjxnJBLkpXPw2yJ55owZY2ObhPHMG28MgYEsYbhBOqfgQIIBbr/wHe8x/vizrU627zzQ8A8GdfLys9M3f/hQYSeHSwsQsIHi0bEB7lSwSgOcykGA+QOQsIdz5RtwqhwFo2AUjIIRCgDNAm1J4FUWRwAAAABJRU5ErkJggg==","orcid":"","institution":"Central China Normal University","correspondingAuthor":true,"prefix":"","firstName":"Zoey","middleName":"Zhiyuan","lastName":"Dong","suffix":""},{"id":316307284,"identity":"d7f3da81-fd36-45b5-9f38-fb8ef9fb4cb0","order_by":1,"name":"Joshua Cole Faggert","email":"","orcid":"","institution":"Georgia Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Joshua","middleName":"Cole","lastName":"Faggert","suffix":""},{"id":316307285,"identity":"c7f5fe9e-9bab-4512-a8e8-5aac8cb9ade1","order_by":2,"name":"Shu Yan Lau","email":"","orcid":"","institution":"University of Virginia","correspondingAuthor":false,"prefix":"","firstName":"Shu","middleName":"Yan","lastName":"Lau","suffix":""},{"id":316307286,"identity":"b349a3ee-fa08-41ae-9cc0-0c99d835cd19","order_by":3,"name":"Kent Yagi","email":"","orcid":"","institution":"University of Virginia","correspondingAuthor":false,"prefix":"","firstName":"Kent","middleName":"","lastName":"Yagi","suffix":""}],"badges":[],"createdAt":"2024-06-08 05:38:30","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4549022/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4549022/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s10714-024-03302-z","type":"published","date":"2024-09-30T15:58:01+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":66096932,"identity":"d548807e-e55d-4e71-a2f9-b49f4f30bcb9","added_by":"auto","created_at":"2024-10-07 16:11:54","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":692072,"visible":true,"origin":"","legend":"","description":"","filename":"LoveCrelationsforelastichybridstars.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4549022/v1_covered_0ef3d060-aed3-49db-894f-6e2961aca8b3.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Love-C relations for elastic hybrid stars","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"general-relativity-and-gravitation","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"gerg","sideBox":"Learn more about [General Relativity and Gravitation](http://link.springer.com/journal/10714)","snPcode":"10714","submissionUrl":"https://submission.nature.com/new-submission/10714/3","title":"General Relativity and Gravitation","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-4549022/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4549022/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Neutron stars (NSs) provide a unique laboratory to study matter under extreme densities. 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