论文标题
$ f（r）$重力中的弦云包围的无遍布虫洞。
Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
论文作者
论文摘要
我们研究了$ f（r）$重力度量形式主义中的无独特蠕虫孔。首先，我们考虑虫洞的三种形状功能，并研究其生存能力和结构。已经研究了$ f（r）$重力模型与虫洞形状功能之间的连接，并显示了具有形状功能的$ f（r）$重力模型的依赖性。我们还在$ f（r）$ gravity starobinsky模型中获得了虫洞溶液，该模型被弦云所包围。在这种情况下，虫洞形状函数取决于Starobinsky模型参数和字符串参数云。虫洞的结构和高度受到字符串参数云的高度影响，而对Starobinsky模型参数不太敏感。已经研究了能量条件，我们发现所有虫洞结构的无效能量条件违规范围。使用高阶WKB近似方法研究了这些虫洞结构的准模式和迪拉克扰动。玩具形状函数的准模式在很大程度上取决于模型参数。如果Starobinsky模型的虫洞，准频率和阻尼率随着标量扰动中Starobinsky模型参数的增加而增加。而在狄拉克扰动中，随着Starobinsky模型参数的增加，准频率降低，并且阻尼速率增加。字符串参数的云也对Starobinsky模型中虫洞的准模式显着和不同。
We study the tideless traversable wormholes in the $f(R)$ gravity metric formalism. First we consider three shape functions of wormholes and study their viabilities and structures. The connection between the $f(R)$ gravity model and wormhole shape function has been studied and the dependency of the $f(R)$ gravity model with the shape function is shown. We also obtain a wormhole solution in the $f(R)$ gravity Starobinsky model surrounded by a cloud of strings. In this case, the wormhole shape function depends on both the Starobinsky model parameter and the cloud of strings parameter. The structure and height of the wormhole is highly affected by the cloud of strings parameter, while it is less sensitive to the Starobinsky model parameter. The energy conditions have been studied and we found the ranges of the null energy condition violation for all wormhole structures. The quasinormal modes from these wormhole structures for the scalar and Dirac perturbations are studied using higher order WKB approximation methods. The quasinormal modes for the toy shape functions depend highly on the model parameters. In case of the Starobinsky model's wormhole the quasinormal frequencies and the damping rate increase with an increase in the Starobinsky model parameter in scalar perturbation. Whereas in Dirac perturbation, with an increase in the Starobinsky model parameter the quasinormal frequencies decrease and the damping rate increases. The cloud of strings parameter also impacts prominently and differently the quasinormal modes from the wormhole in the Starobinsky model.
