High Energy Physics - Theory
[Submitted on 1 Feb 2011 (v1), last revised 17 Oct 2011 (this version, v4)]
Title:Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
View PDFAbstract:In this paper we obtain topological static solutions of some kind of pure $F(R)$ 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-$\Lambda$-conformally invariant Maxwell solution. In other word, starting from pure gravity leads to (charged) Einstein-$\Lambda$ solutions which we interpreted them as (charged) (a)dS black hole solutions of pure $F(R)$ gravity. Calculating the Ricci and Kreschmann scalars show that there is a curvature singularity at $r=0$. We should note that the Kreschmann scalar of charged solutions goes to infinity as $r \rightarrow 0$, but with a rate slower than that of uncharged solutions.
Submission history
From: Seyed Hossein Hendi [view email][v1] Tue, 1 Feb 2011 07:54:46 UTC (40 KB)
[v2] Thu, 31 Mar 2011 03:08:48 UTC (12 KB)
[v3] Fri, 27 May 2011 17:33:19 UTC (76 KB)
[v4] Mon, 17 Oct 2011 15:35:15 UTC (77 KB)
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