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Analysis of black hole thermodynamics with a new higher order generalized uncertainty principle

H. HassanabadiFaculty of Physics, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, IranE. MaghsoodiYoung Researchers and Elite Club, Damghan Branch, Islamic Azad University, Damghan, IranWon Sang ChungDepartment of Physics, Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea
2019en
ABI

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This research explores a unified expression for the black hole thermodynamics in the presence of a special generalized uncertainty principle (GUP). We have considered a heuristic analysis versus behavior of a particle which is absorbed by the black hole. Then we investigate the thermodynamic properties of the topological charged black hole under the consideration of GUP and we obtain the GUP-corrected temperature, entropy and heat capacity and we compare the behaviors of the usual temperature and the corrected temperature for the charged black hole in the spherical horizon case.

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