Thermodynamic insights into ModMax-AdS black holes: A bridge between electrodynamic corrections and black hole physics
Noori Gashti S. Afshar M.A.S. Sekhmani Y. Shaymatov S. Jawad A. Alipour M.R. Pourhassan B. Sadeghi J. Rayimbaev J.
November 2025Elsevier B.V.
Nuclear Physics B
2025#1020
This study examines the thermodynamic structure of ModMax AdS black holes, focusing on the application of non-extended entropies such as Rényi entropy (parameterized by λ), Sharma-Mittal entropy (characterized by α and β), and Barrow entropy (defined by δ). Our objective is to classify the topology of these black holes and analyze how they differ from the Bekenstein-Hawking entropy. Our study reveals that the number of topological charges, correlated with the winding number, varies with the parameters of the non-extended entropies and the free parameters: pressure (p), charge (q), and the ModMax parameter (γ). We observe that the behavior and number of topological charges change with a rise in the nonextensive parameter δ. Also, changing the parameter λ affects black hole behavior in a model transitioning from Bekenstein-Hawking entropy to Rényi entropy, and specifically, increasing λ around 0.3 changes the phase transition from first-order to second-order, as indicated by the flattening and disappearance of the τ curve. Regarding Sharma-Mittal entropy, we examine three different intervals, each showing variations in the number of topological charges and their classification. When the parameter α is greater than β, we observe two topological charges (ω=+1,−1) with a TTC (W=0). When the non-extensive parameters α and β are similar in value, a distinct classification emerges, leading to a TTC of (W=+1). Lastly, when β is greater than α, we observe one topological charge (ω=−1) with a TTC (W=−1). Bringing to light the application of non-extended entropy frameworks, such investigations into the subject of geometrothermodynamic (GT) tools governed by the Hendi, Panahiyan, Eslam Panah, and Momennia (HPEM) formalism and the sparsity of Hawking radiation are carried out. Our study provides new insights into how the application of the non-extensive entropy is interrelated within the context of black hole thermodynamics with the ModMax term by means of Duan’s ϕ techniques.
ModMax AdS black holes , Non-extensive entropy , Topological charge
Text of the article Перейти на текст статьи
School of Physics, Damghan University, P. O. Box 3671641167, Damghan, Iran
Department of Physics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Centre for Research Impact & Outcome, Chitkara University Institute of Engineering & Technology, Chitkara University, Punjab, Rajpura, 140401, India
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
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent, 100000, Uzbekistan
University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan
Samarkand State University, University Avenue 15, Samarkand, 140104, Uzbekistan
Tashkent State Technical University, Tashkent, 100095, Uzbekistan
Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, Lahore, 54000, Pakistan
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Tashkent International University of Education, Imom Bukhoriy 6, Tashkent, 100207, Uzbekistan
Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan
School of Physics
Department of Physics
Center for Theoretical Physics
Centre for Research Impact & Outcome
Institute of Nuclear Physics
Department of Mathematical and Physical Sciences
Institute of Fundamental and Applied Research
University of Tashkent for Applied Sciences
Samarkand State University
Tashkent State Technical University
Department of Mathematics
National University of Uzbekistan
Tashkent International University of Education
Urgench State University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026