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THERMODYNAMICS OF THE SLOWLY ROTATING KERR-NEWMAN BLACK HOLE IN THE GRAND CANONICAL ENSEMBLE
Authors:Chen Ju-hu  Jing Ji-liang and Wang Yong-jiu
Institution:Department of Physics and Institute of Physics, Hunan Normal University, Changsha 410081, China; Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei 230026, China
Abstract:We investigate the thermodynamics of the slowly rotating Kerr-Newman (K-N) black hole in the grand canonical ensemble with York's formalism. Some thermodynamical properties, such as the thermodynamical action, entropy, thermodynamical energy and heat capacity are studied, and solutions of the slowly rotating K-N black hole with different boundary conditions are analysed. We find stable solutions and instantons under certain boundary conditions.
Keywords:thermodynamics  slowly rotating Kerr-Newman black hole
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