Abstract In the present article, we use non-commutative geometry to investigate the wormhole solutions in modified f(R, T) theory of gravity. In particular, we consider Gaussian and Lorentzian source with f ( R , T ) = f 1 ( R ) + λ T model to discuss the wormhole solutions existence. We choose two different models of f1(R) i.e. f 1 ( R ) = R − α γ ( 1 − e − R γ ) known as exponential gravity model and f 1 ( R ) = R − α γ tanh ( R γ ) known as Tsujikawa model, where α, γ are model parameters. We explore the viable solutions for these models. Moreover, we discuss analytically as well as graphically, distinct properties of these model of wormholes by giving suitable values to the model parameters. Conclusively, we find that obtained wormhole solutions are stable and physically acceptable with the considered exponential and Tsujikawa gravity models.

中文翻译：

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具有物质耦合的指数引力中的非交换虫洞解

摘要 在本文中，我们使用非交换几何来研究修正的 f(R, T) 引力理论中的虫洞解。特别地，我们考虑了具有 f ( R , T ) = f 1 ( R ) + λ T 模型的高斯和洛伦兹源来讨论虫洞解的存在。我们选择两种不同的 f1(R) 模型，即 f 1 ( R ) = R − α γ ( 1 − e − R γ ) 称为指数重力模型和 f 1 ( R ) = R − α γ tanh ( R γ )称为辻川模型，其中 α、γ 是模型参数。我们探索这些模型的可行解决方案。此外，我们通过为模型参数提供合适的值，以分析方式和图形方式讨论这些虫洞模型的不同属性。最后，我们发现所获得的虫洞解在考虑的指数和辻川引力模型下是稳定的并且在物理上是可接受的。