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arXiv · 1101.1153

f(R) Black holes

Taeyoon Moon·Yun Soo Myung·Edwin J. Son
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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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Taeyoon Moon, Yun Soo Myung, Edwin J. Son. 2011-07-11. f(R) Black holes. https://doi.org/10.1007/s10714-011-1225-3

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