期刊
PHYSICS LETTERS B
卷 690, 期 3, 页码 220-223出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2010.05.035
关键词
Black hole; F(R) gravity; Conformally invariant Maxwell source
资金
- Research Institute for Astronomy and Astrophysics of Maragha
In this Letter, we consider the special case of F(R) gravity, in which F(R) = R(N) and obtain its topological black hole solutions in higher dimensions. We show that, the same as higher-dimensional charged black hole, these solutions may be interpreted as black hole solutions with two event horizons, extreme black hole and naked singularity provided the parameters of the solutions are chosen suitably. But, the presented black hole is different from the standard higher-dimensional Reissner-Nordstrbm solutions. Next, we present the conformally invariant Maxwell field coupled to Einstein gravity and discuss about its black hole solutions. Comparing these two class of solutions, shows that there is a correspondence between the Einstein-conformally invariant Maxwell solutions and the solutions of F(R) gravity without matter field in arbitrary dimensions. (c) 2010 Elsevier B.V. All rights reserved.
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