f(R) Black holes

Details f(R) Black holes f(R) Black holes

2011-01-06

arxiv.org/abs/1101.1153v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 figures, 24 pages, version to appear in GERG

Scientific paper

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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