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f(R) Black holes

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arxiv 1101.1153 v2 pith:LB3HXRUB submitted 2011-01-06 gr-qc hep-th

f(R) Black holes

Taeyoon Moon , Yun Soo Myung , Edwin J. Son This is my paper
classification gr-qc hep-th
keywords blackholeconstantcurvatureimposedobtainpresencesolutions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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-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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Cited by 1 Pith paper

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  1. Aspects of the Black Hole Interior Volume and Entropy

    gr-qc 2025-09 unverdicted novelty 2.0

    A doctoral thesis compiles and reproduces prior semiclassical results claiming the interior scalar-mode entropy of black holes is proportional to horizon entropy with a coefficient less than one.