The present work is focused on the study of traversable wormholes, proposed by Morris and Thorne [Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity, Am. J. Phys. 56 (1988) 395], using the background of modified gravity. It is performed by using the models: I. f = R + 2βT, II. f = R + αRn and III. f = R + αRn + 2βT, where α, β and n are constants. The Model I belongs to the theory of f(R,T) gravity, Model II belongs to the theory of f(R) gravity and Model III is a combination of Models I and II. These functions have been taken into account for the exploration of wormhole solutions. The shape function, a wormhole metric function, is newly defined which satisfies the flare out condition. Further, the stability condition and energy conditions, namely null, weak and dominant energy conditions, have been examined with respect to each model.

中文翻译：

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非奇异物质支持的稳定莫里斯索恩虫洞

目前的工作重点是研究由莫里斯和索恩提出的可穿越虫洞[时空虫洞及其在星际旅行中的用途：一种教授广义相对论的工具，是。J.物理。 56(1988) 395]，使用修正重力的背景。它是通过使用模型来执行的：I。F = R + 2β吨，二。F = R + αRn三。F = R + αRn + 2β吨， 在哪里α,β和n是常数。模型 I 属于F(R,吨)重力，模型二属于理论F(R)重力和模型 III 是模型 I 和 II 的组合。这些功能已被考虑到探索虫洞解决方案。形状函数，一个虫洞度量函数，是新定义的，它满足爆发条件。此外，已经针对每个模型检查了稳定性条件和能量条件，即零能量条件、弱能量条件和主导能量条件。