English

Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation

High Energy Physics - Theory 2015-03-18 v4 General Relativity and Quantum Cosmology

Abstract

In this paper we obtain topological static solutions of some kind of pure F(R)F(R) gravity. The present solutions are two kind: first type is uncharged solution which corresponds with the topological (a)dS Schwarzschild solution and second type has electric charge and is equivalent to the Einstein-Λ\Lambda-conformally invariant Maxwell solution. In other word, starting from pure gravity leads to (charged) Einstein-Λ\Lambda solutions which we interpreted them as (charged) (a)dS black hole solutions of pure F(R)F(R) gravity. Calculating the Ricci and Kreschmann scalars show that there is a curvature singularity at r=0r=0. We should note that the Kreschmann scalar of charged solutions goes to infinity as r0r \rightarrow 0, but with a rate slower than that of uncharged solutions.

Keywords

Cite

@article{arxiv.1102.0089,
  title  = {Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation},
  author = {S. H. Hendi and B. Eslam Panah and S. M. Mousavi},
  journal= {arXiv preprint arXiv:1102.0089},
  year   = {2015}
}

Comments

21 pages, 4 figures, generalization to higher dimensions, references added