论文标题
$ f（r）$重力满足能量条件的非交换性虫洞
Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
论文作者
论文摘要
一般相对论（GR）中可穿越的虫洞需要违反无效能量条件（NEC）的外来物质来源，并且可以在修饰的重力中避免这种行为。此外，可以在GR和改良的重力中利用非交通性几何形状作为重力来源的概念来实现非平凡的时空配置。在这项研究中，我们使用$ f（r）$重力与非共同的几何形状一起分析球形对称的莫里斯 - thorne虫洞溶液从能量条件违规方面，考虑到恒定和可变的红移功能。首先，我们在可行的$ f（r）$重力模型中使用良好的约束度量和模型参数来证明可以通过适当的参数选择获得涉及NEC的虫洞。此外，我们检查了强大和主导的能量条件，以进一步验证我们的结果。然后，我们利用$ f（r）$重力的框架中利用非交通的几何形状，以表明可以使用模型参数的合适选择来实现尊重不同能量条件的虫洞。我们使用良好约束模型参数进行的全面分析表明，满足NEC的虫洞可以在具有修改的重力的非交通几何形状的框架中实现。
Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. Moreover, the concept of non-commutative geometry as a gravitational source can be leveraged both in GR and modified gravity to realize non-trivial space-time configurations. In this study, we use $f(R)$ gravity in conjunction with non-commutative geometry to analyze spherically symmetric traversable Morris-Thorne wormhole solutions from the aspect of energy condition violation, considering both constant and variable red-shift functions. First, we use well constrained metric and model parameters in a viable $f(R)$ gravity model to demonstrate that wormholes respecting the NEC can be obtained with suitable choices of parameters. Additionally, we check the strong and dominant energy conditions to further validate our results. We then leverage non-commutative geometry in the framework of $f(R)$ gravity to show that wormholes respecting the different energy conditions with a phantom-like source can be realized with suitable choices of model parameters. Our comprehensive analyses using well-constrained model parameters show that wormholes satisfying the NEC can be realized in the framework of non-commutative geometry with modified gravity.
