Rényi entropy and the topological features of charged AdS black hole
Yasir M. Lining T. Mushtaq F. Tiecheng X. Upadhyay S. Brzo A.B. Pourhassan B.
August 2025Elsevier B.V.
Chinese Journal of Physics
2025#961272 - 1288 pp.
This study applies Duans topological current ϕ-mapping theory to investigate a newly proposed charged modified AdS black hole using the Rényi entropy formalism, examining its thermodynamic properties across the canonical, mixed, and grand canonical ensembles. Electric and magnetic charges are fixed in the canonical ensemble, whereas the mixed ensemble incorporates electric and magnetic potentials. The grand canonical ensemble, meanwhile, ensures consistency by employing these potentials exclusively. Initially, we compute topological charges by identifying critical points in each ensemble. In both the canonical and mixed ensembles, we identify a conventional critical point with a topological charge of −1. We then model the black holes domain in the AdS regime as a topological defect in thermodynamic space and analyze its local and global topology by calculating the winding numbers at these defect locations. Interestingly, the canonical and mixed ensembles exhibit identical black hole topologies, each possessing a total topological charge of 1 within the framework of the Rényi entropy. Finally, we characterize the canonical, mixed, and grand canonical ensembles based on the presence of generation/annihilation points: the canonical ensemble has one such point, the mixed ensemble has a negative one, and the grand canonical ensemble has none.
Anti-de Sitter (AdS) spacetime , Black hole thermodynamics , Modified gravity , Thermodynamic topology
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Department of Mathematics, Shanghai University and Newtouch Center for Mathematics of Shanghai University, Shanghai, 200444, China
Department of Software Engineering, Faculty of Science & Technology, ILMA University, Karachi, 75190, Pakistan
Department of Physics, K. L. S. College, Nawada, Magadh University, Bodh Gaya, Bihar, 805110, India
School of Physics, Damghan University, P.O. Box 3671641167, Damghan, Iran
Department of General & Theoretical Physics, L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Canadian Quantum Research Center 204-3002 32 Ave Vernon, V1T 2L7, BC, Canada
Physics Department, College of Education, University of Sulaimani, Kurdistan Region, Sulaimani, 46001, Iraq
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, AZ, Baku, 1096, Azerbaijan
Centre for Research Impact & Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, Rajpura, 140401, India
Department of Mathematics
Department of Software Engineering
Department of Physics
School of Physics
Department of General & Theoretical Physics
Canadian Quantum Research Center 204-3002 32 Ave Vernon
Physics Department
Center for Theoretical Physics
Centre for Research Impact & Outcome
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