标题： 利用引力解耦的最小几何变形无迹引力中的可穿越虫洞 显示英文标题

标题： Traversable Wormholes in Minimally Geometrical Deformed Trace-Free Gravity using Gravitational Decoupling

摘要： 本工作中，我们通过利用引力解耦的方法研究虫洞解，采用迹自由引力框架下的极小几何变形（MGD）程序。 我们的研究基于静态且球对称的莫里斯-索恩可穿越虫洞，考虑了常数和变量状态方程参数的情况。 我们推导出场方程并为每种情形提取形状函数。此外，我们探索引力解耦技术，并考察了抹平和粒子状引力源的多种能量密度形式，涵盖非交换几何领域以及静态带电流体。 我们还通过嵌入图分析虫洞几何结构。通过我们的分析，我们发现了法向能动量条件（NEC）的违背。 最后，我们利用高斯-博内定理确定虫洞构型的弱偏转角。 显示英文摘要

摘要： In this work, we investigate wormhole solutions through the utilization of gravitational decoupling, employing the Minimal Geometric Deformation (MGD) procedure within the framework of Trace-Free Gravity. We base our investigation on static and spherically symmetric Morris-Thorne traversable wormholes, considering both constant and variable equation of state parameters. We derive the field equations and extract the shape function for each scenario. Moreover, we explore the gravitational decoupling technique and examine various forms of energy density for both a smeared and particle-like gravitational source, encompassing the realm of noncommutative geometry and a statically charged fluid. We also examinethe wormhole geometry through the utilization of embedding diagrams. Through our analysis, we uncover a violation of the Null Energy Condition (NEC). To conclude, we employ the Gauss-Bonnet theorem to determine the weak deflection angle for the wormhole configurations.