\(f(R)\) black holes. (English) Zbl 1228.83097
Summary: 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.
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 83C57 | Black holes |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
| 53C07 | Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) |
| 83-08 | Computational methods for problems pertaining to relativity and gravitational theory |
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