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f (R) black holes
Authors:Taeyoon Moon  Yun Soo Myung  Edwin J. Son
Affiliation:(1) Department of Mathematics, Jadavpur University, Kolkata, 700 032, India;(2) Centre for Theoretical Physics, Jamia Millia Islamia, New Delhi, 110025, India;(3) Department of Physics, Netaji Nagar College for Women, Regent Estate, Kolkata, 700092, India
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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