We investigate wormhole solutions using the modified gravity model with viscosity and aim to find a solution for the existence of wormholes mathematically without violating the energy conditions. We show that there is no need to define a wormhole from exotic matter and analyze the equations with numerical analysis to establish weak energy conditions. In the numerical analysis, we found that the appropriate values of the parameters can maintain the weak energy conditions without the need for exotic matter. Adjusting the parameters of the model can increase or decrease the rate of positive energy density or radial and tangential pressures. According to the numerical analysis conducted in this paper, the weak energy conditions are established in the whole space if and or and . The analysis also showed that the supporting matter of the wormhole is near normal matter, indicating that the generalized model with viscosity has an acceptable parameter space to describe a wormhole without the need for exotic matter.

中文翻译：

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修正重力模型和虫洞解

我们使用修正的重力模型研究虫洞解决方案具有粘性，旨在在不违反能量条件的情况下找到虫洞存在的数学解决方案。我们证明不需要从外来物质定义虫洞并通过数值分析来分析方程来建立弱能量条件。在数值分析中，我们发现适当的参数值可以在不需要外来物质的情况下维持弱能条件。调整模型的参数可以增加或减少正能量密度或径向和切向压力的比率。根据本文的数值分析，如果和或者和。分析还表明，虫洞的支撑物质接近正常物质，这表明广义具有粘性的模型具有可接受的参数空间来描述虫洞，而不需要外来物质。