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arXiv 1102.0089hep-thgr-qc
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荷电(a)dS黑洞解释下F(R)引力的某些精确解

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

S. H. Hendi, B. Eslam Panah, S. M. Mousavi

摘要:

本文得到了一类纯$F(R)$引力的拓扑静态解。本文的解分为两类:第一类是不带电解,对应于拓扑(a)dS Schwarzschild解;第二类是电荷,等价于Einstein- $Λ$ -共形不变Maxwell解.换句话说,从纯引力出发,得到(带电)Einstein- $Λ$解,我们将其解释为纯$F(R)$引力的(带电)(a)dS黑洞解.计算Ricci标量和Kreschmann标量表明在$r=0$处存在曲率奇异性。我们应该注意到,带电溶液的克雷施曼标量以$r \rightarrow 0$的形式趋于无穷大,但速率比不带电溶液的速率慢。

英文摘要:

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-$Λ$-conformally invariant Maxwell solution. In other word, starting from pure gravity leads to (charged) Einstein-$Λ$ 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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