论文标题
$ f（r）$重力中具有恒定和可变的红移功能的蠕虫孔
Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
论文作者
论文摘要
本文旨在研究$ f（r）$重力中的可穿越虫洞，其可行$ f（r）$函数定义为$ f（r）= r-μr_c\ big（\ frac {r_c} {r_c} {r_c} {r_c} \ big） r_c> 0 $和$ 0 <p <1 $ \ citep {amendola}。虫洞的度量取决于形状函数$ b（r）$和红移功能$ ϕ（r）$，其表征其属性，因此形状函数和红移功能在虫洞建模中起着重要作用。在这项工作中，确定了（i）$ ϕ（r）= \ frac {1} {r} $和（ii）$ ϕ（r）= c $（contents），用$ b（r）= \ frac {r} {exp {exp（r_0）} $ \ citep {godani1}确定虫洞解决方案。此外，研究了尊重能源条件的地区。
The present paper is aimed at the study of traversable wormholes in $f(R)$ gravity with a viable $f(R)$ function defined as $f(R)=R-μR_c\Big(\frac{R}{R_c}\Big)^p$, where $R$ is scalar curvature, $μ$, $R_c$ and $p$ are constants with $μ, R_c>0$ and $0<p<1$ \citep{Amendola}. The metric of wormhole is dependent on shape function $b(r)$ and redshift function $ϕ(r)$ which characterize its properties, so the shape function and redshift function play an important role in wormhole modeling. In this work, the wormhole solutions are determined for (i) $ϕ(r)=\frac{1}{r}$ and (ii) $ϕ(r)=c$ (constant) with $b(r)=\frac{r}{exp(r-r_0)}$ \citep{godani1}. Further, the regions respecting the energy conditions are investigated.
