Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-07-15
Phys.Lett.B690:220-223, 2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, one figures, references added
Scientific paper
In this paper, 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-Nordstrom solutions. Next, we focus on 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.
No associations
LandOfFree
The relation between F(R) gravity and Einstein-conformally invariant Maxwell source does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The relation between F(R) gravity and Einstein-conformally invariant Maxwell source, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The relation between F(R) gravity and Einstein-conformally invariant Maxwell source will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-364159