In this work, a new form of the logarithmic shape function is proposed for the linear f(R,T) gravity, f(R,T) = R + 2λT where λ is an arbitrary coupling constant, in wormhole geometry. The desired logarithmic shape function accomplishes all necessary conditions for a traversable and asymptotically flat wormhole. The obtained wormhole solutions are analyzed from the energy conditions for different values of λ. It has been observed that our proposed shape function for the linear form of f(R,T) gravity, represents the existence of exotic matter and non-exotic matter. Moreover, for λ = 0, i.e. for the general relativity case, the existence of exotic matter for the wormhole geometry has been confirmed. Further, the behavior of the radial state parameter ωr, the tangential state parameter ωt, and the anisotropy parameter △ describing the geometry of the universe, has been presented for different values of λ chosen in [−100, 100].

中文翻译：

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在 f(R,T) 重力下具有对数形状函数的可穿越虫洞

在这项工作中，提出了一种新形式的对数形状函数，用于线性F(R,吨)重力，F(R,吨) = R + 2λ吨在哪里λ是虫洞几何中的任意耦合常数。所需的对数形状函数满足了可遍历且渐近平坦的虫洞的所有必要条件。从不同值的能量条件分析获得的虫洞解λ. 已经观察到，我们提出的线性形式的形状函数F(R,吨)引力，代表奇异物质和非奇异物质的存在。此外，对于λ = 0,即对于广义相对论的情况，虫洞几何的奇异物质的存在已经得到证实。此外，径向状态参数的行为ωr, 切向状态参数ω吨，以及描述宇宙几何形状的各向异性参数△，已经针对不同的值呈现λ选择在[-100, 100].