论文标题
用洛伦兹密度分布功能的修改后的$ f（r）$重力中的涂抹质量源虫洞
Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
论文作者
论文摘要
虫洞是连接不同时空点的投机结构。它们的几何形状可以通过溶解爱因斯坦方程来耐受侵犯无效能量条件来获得。最近，许多研究人员根据不同的标准研究了不同的虫洞，他们取得了显着的结果。在本文中，我们研究了一系列的静态虫洞的精确溶液，并在修改后的$ f（r）$重力理论中使用涂抹的质量源几何形状。实际上，我们考虑来自粒子样源的洛伦兹密度分布。更具体地说，我们在这里考虑的修改重力模型是一些功率定律。我们根据虫洞场方程计算产生的解决方案。我们还指定参数，例如径向压力和横向压力以及各种能量条件，例如无效能量条件，弱能量条件和强大的能量条件。最后，通过绘制一些数字，除了确定虫洞喉咙外，我们还完全描述了能量条件的违规或满意度的结果。
Wormholes are speculative structures linking disparate space-time points. Their geometry can be obtained by solving Einstein equations with tolerating the violation of null energy conditions. Recently, many researchers have studied different wormholes according to different criteria, and they achieved remarkable results. In this paper, we investigate a series of exact solutions of the static wormhole with smeared mass source geometry in modified $f(R)$ gravity theories. In fact, we consider the Lorentzian density distribution which is coming from a particle-like source. To be more specific, the modified gravity models we consider here are some power laws. We compute resulting solutions according to the wormhole field equations. We also specify parameters such as the radial pressure and transverse pressure as well as various energy conditions such as null energy conditions, weak energy conditions and strong energy conditions. Finally, by plotting some figures, in addition to identifying the wormhole throat, we describe the results of either the violation or the satisfaction of the energy conditions completely.
