Abstract
We study the f (R)-Maxwell black hole imposed by constant curvature and its all thermodynamic quantities, which may lead to the Reissner-Nordström-AdS black hole by redefining Newtonian constant and charge. Further, we obtain the f (R)-Yang-Mills black hole imposed by constant curvature, which is related to the Einstein-Yang-Mills black hole in AdS space. Since there is no analytic black hole solution in the presence of Yang-Mills field, we obtain asymptotic solutions. Then, we confirm the presence of these solutions in a numerical way.
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Moon, T., Myung, Y.S. & Son, E.J. f (R) black holes. Gen Relativ Gravit 43, 3079–3098 (2011). https://doi.org/10.1007/s10714-011-1225-3
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DOI: https://doi.org/10.1007/s10714-011-1225-3