4.3 Article

f (R) black holes

Journal

GENERAL RELATIVITY AND GRAVITATION
Volume 43, Issue 11, Pages 3079-3098

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-011-1225-3

Keywords

Yang-Mills black holes; f(R) gravity

Funding

  1. National Research Foundation of Korea (NRF)
  2. Korea government (MEST) through the Center for Quantum Spacetime (CQUeST) of Sogang University [2005-0049409]
  3. National Research Foundation of Korea [2010-0008084] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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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-Nordstrom-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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