AdS-Schwarzschild-like black hole thermodynamics: Loop quantum gravity impact on topology and universality
Gashti S.N. Anand A. Afshar M.A.S. Alipour M.R. Sekhmani Y. Pourhassan B. Sakallı İ. Sadeghi J.
December 2025Elsevier B.V.
Nuclear Physics B
2025#1021
This study investigates the thermodynamic topology of AdS-Schwarzschild-like black holes within the framework of Loop Quantum Gravity (LQG) by employing various non-extensive entropy formulations. These include Rényi entropy, Barrow entropy, LQG entropy, and Sharma–Mittal entropy, each characterized by specific parameters that influence black hole thermodynamics. Our analysis reveals that adopting Rényi entropy instead of the traditional Bekenstein–Hawking entropy leads to significant changes in phase transition behavior, with a critical parameter value distinguishing between first-order and second-order transitions. While Barrow entropy remains consistent with the classical model across its parameter range, LQG entropy introduces complex topological features dependent on its defining parameter, including multiple zero points linked to distinct topological charges. Sharma–Mittal entropy exhibits a rich variety of topological structures that depend sensitively on the interplay between its two parameters, resulting in different patterns of topological charges. Furthermore, we confirm the existence of universal relations connecting entropy and extremality bounds for all entropy formulations studied, which remain valid upon introducing a small corrective term in the action. These findings highlight the profound impact of quantum gravity-inspired entropy modifications on the thermodynamic and topological properties of black holes.
Loop quantum gravity , Thermodynamic topology , Universal relations
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School of Physics, Damghan University, P. O. Box 3671641167, Damghan, Iran
Department of Physics, Indian Institute of Technology, Kanpur, 208016, India
Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, V1T 2L7, BC, Canada
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa, 616, Oman
Centre of Research Impact and Outcome, Chitkara University, Punjab, Rajpura, 140417, India
Physics Department, Eastern Mediterranean University, Famagusta, 99628 North Cyprus, via Mersin, 10, Turkey
School of Physics
Department of Physics
Department of Physics
Canadian Quantum Research Center
Center for Theoretical Physics
Institute of Nuclear Physics
Department of Mathematical and Physical Sciences
Centre of Research Impact and Outcome
Physics Department
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