In Einstein’s relativity theory, the existence of traversable wormholes requires the involvement of exotic matter which violates the null energy condition (NEC). Our aim, in this article, is to construct wormhole solutions with the nonexotic matter. To achieve this, we choose an interesting gravitational framework of theory which contains a quadratic term of energy-momentum tensor trace and a well-known Starobinsky model in its extended form. We analyze the behavior of energy constraints in the framework of (where , , and are some random constants) model for the well-proposed shape function (where is a constant and is the wormhole throat). A detailed analysis of validity regions is presented for some choices of coupling parameters along with the free parameter of EoS . It is shown that, under this model, the existence of viable wormhole geometry is possible without requiring any exotic matter.

中文翻译：

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引力中存在可穿越的虫洞，涉及具有非奇异物质的迹平方项

在爱因斯坦的相对论中，可穿越虫洞的存在需要违反零能量条件（NEC）的奇异物质的参与。在本文中，我们的目标是用非外来物质构建虫洞解决方案。为了实现这一点，我们选择了一个有趣的引力框架包含能量-动量张量轨迹的二次项和扩展形式的著名 Starobinsky模型的理论。我们在框架内分析能量约束的行为（其中， ，和是一些随机常数）模型的良好建议的形状函数（其中是常数，是虫洞喉咙）。对耦合参数的一些选择以及 EoS 的自由参数进行了有效区域的详细分析. 结果表明，在这个模型下，不需要任何外来物质就可以存在可行的虫洞几何形状。