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f(R) Black holes · Around

2011

f(R) Black holes

Moon, Taeyoon, Myung, Yun Soo, Son, Edwin J.

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We study the $f(R)$-Maxwell black hole imposed by constant curvature and its all thermodynamic quantities, which may lead to the Reissner-Nordstr\"om-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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T. Moon, Y. S. Myung and E. J. Son, arXiv:1104.1908 [gr-qc]
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