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Effects of a new extended uncertainty principle on Schwarzschild and Reissner–Nordström black holes thermodynamics

H. HassanabadiDepartment of Physics, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, CzechiaWon Sang ChungDepartment of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, KoreaB. C. LütfüoğluDepartment of Physics, Akdeniz University, Campus 07058, Antalya, TurkeyE. MaghsoodiPhysics Department, Faculty of Science, Lorestan University, Khoramabad, Iran
2021en
ABI

Abstract

In this paper, we employ a new form of the extended uncertainty principle to investigate the thermal properties of the Schwarzschild and Reissner–Nordström. After we construct the formalism, we obtain the mass-temperature function for the Schwarzschild black hole. We follow a heuristic method to derive the entropy function after we obtained the heat capacity function. Then, we derive the mass-temperature and mass-charge-temperature functions of the Reissner–Nordström black hole in the new formalism. After we obtain the heat capacity and entropy functions, we present a comprehensive and comparative analysis of all these functions. We find that the deformation parameter changes drastically some of the thermodynamic function characteristics.

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