Thermodynamics and Multi-Horizon Solutions in Quartic Quasitopological Gravity: A Power-Maxwell Approach

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Abstract In this paper, we derive exact black hole solutions within the framework of fourth-order quasitopological gravity (4QTG) coupled to power-law Maxwell electrodynamics in five-dimensional spacetimes. We explore the thermodynamic properties of these solutions, including entropy, temperature, and electric potential, and verify the validity of the first law of thermodynamics. Our analysis spans asymptotically anti-de Sitter (AdS), de Sitter (dS), and flat spacetimes, revealing that thermal stability is exclusively achievable in asymptotically AdS black holes, while dS and flat solutions exhibit universal instability. The study highlights the unique role of higher-curvature terms in modifying black hole thermodynamics and horizon structures, providing new insights into the interplay between geometry, thermodynamics, and quantum gravity via the AdS/CFT correspondence. Furthermore, we demonstrate that 4QTG supports multi-horizon black holes even in the absence of charge, a feature absent in Einstein gravity. These findings underscore the importance of higher-curvature corrections in resolving classical limitations of general relativity and offer new avenues for exploring quantum gravity and holographic duality. PACS numbers: 04.70.-s, 04.30.-w, 04.50.-h, 04.20.Jb, 04.70.Bw, 04.70.Dy
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Thermodynamics and Multi-Horizon Solutions in Quartic Quasitopological Gravity: A Power-Maxwell Approach | 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 Thermodynamics and Multi-Horizon Solutions in Quartic Quasitopological Gravity: A Power-Maxwell Approach Afsaneh Bazrafshan, Mohammad Ghanaatian, Parviz Mirsalari, Ghasem Forozani This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6355593/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 In this paper, we derive exact black hole solutions within the framework of fourth-order quasitopological gravity (4QTG) coupled to power-law Maxwell electrodynamics in five-dimensional spacetimes. We explore the thermodynamic properties of these solutions, including entropy, temperature, and electric potential, and verify the validity of the first law of thermodynamics. Our analysis spans asymptotically anti-de Sitter (AdS), de Sitter (dS), and flat spacetimes, revealing that thermal stability is exclusively achievable in asymptotically AdS black holes, while dS and flat solutions exhibit universal instability. The study highlights the unique role of higher-curvature terms in modifying black hole thermodynamics and horizon structures, providing new insights into the interplay between geometry, thermodynamics, and quantum gravity via the AdS/CFT correspondence. Furthermore, we demonstrate that 4QTG supports multi-horizon black holes even in the absence of charge, a feature absent in Einstein gravity. These findings underscore the importance of higher-curvature corrections in resolving classical limitations of general relativity and offer new avenues for exploring quantum gravity and holographic duality. PACS numbers: 04.70.-s, 04.30.-w, 04.50.-h, 04.20.Jb, 04.70.Bw, 04.70.Dy 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. 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