标题： 研究可穿越虫洞在修改的$f(R,T)$引力中的物理性质 显示英文标题

标题： Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity

摘要： 在本文中，我们在$f(R,T)$改进的引力理论框架内分析了静态可穿越虫洞的一些物理性质。 首先，我们探讨了所考虑的$f(R,T)=R+\alpha R^2+\lambda T$模型中虫洞物质的零能条件、弱能条件、主导能条件和强能条件的有效性。 研究表明，在$f(R,T)$理论中，可以在不引入违反零能条件的奇异物质的情况下获得可穿越虫洞几何结构。 该模型中主导能条件的破坏可能与量子涨落有关，或者表明虫洞内存在违反此能条件的特殊物质。 此外，发现在$f(R,T)=R+\alpha R^2+\lambda T$模型中，相对于广义相对论，几何项$\alpha R^2$的引入对虫洞物质组分及其性质没有显著影响，而物质-几何耦合项$\lambda T$的出现可以解决虫洞物质在广义相对论中违反零能条件、弱能条件和强能条件的问题。 此外，我们研究了有效 NEC 与模型参数的依赖关系，并使用“体积积分量化器”量化了虫洞内的物质组分。 最后，基于改进的 Tolman-Oppenheimer-Volkov 方程，我们发现该理论中的可穿越虫洞是稳定的。 另一方面，我们使用经典重构技术推导出$f(R,T)$理论中的虫洞解，并讨论了相应物质的能条件。 发现所有四种物质的ECs（NEC、WEC、SEC和DEC）在可穿越虫洞中在此重构的$f(R,T)$模型中都是有效的，即我们在$f(R,T)$理论中没有引入奇异物质和特殊物质就提供了虫洞解。 显示英文摘要

摘要： In the paper, we analyze some physical properties of static traversable WH within the framework of $f(R,T)$ modified gravitational theory. Firstly, we explore the validity of the null, weak, dominant and strong energy conditions for wormhole matter for the considered $f(R,T)=R+\alpha R^2+\lambda T$ model. Research shows that it is possible to obtain traversable WH geometry without bring in exotic matter that violates the null energy condition in the $f(R,T)$ theory. The violation of the dominant energy condition in this model may be related to quantum fluctuations or indicates the existence of special matter that violates this EC within the wormhole. Moreover, it is found that in the $f(R,T)=R+\alpha R^2+\lambda T$ model, relative to the GR, the introduction of the geometric term $\alpha R^2$ has no remarkable impact on the wormhole matter components and their properties, while the appearance of the matter-geometry coupling term $\lambda T$ can resolve the question that WH matter violates the null, weak and strong energy condition in GR. Additionally, we investigate dependency of the valid NEC on model parameters and quantify the matter components within the wormhole using the ``volume integral quantifier". Lastly, based on the modified Tolman-Oppenheimer-Volkov equation, we find that the traversable WH in this theory is stable. On the other hand, we use the classical reconstruction technique to derive wormhole solution in $f(R,T)$ theory and discuss the corresponding ECs of matter. It is found that all four ECs (NEC, WEC, SEC and DEC) of matter in the traversable wormholes are valid in this reconstructed $f(R,T)$ model, i.e we provide a wormhole solution without introducing the exotic matter and special matter in $f(R,T)$ theory.