Abstract In this work, we employ the class I approach to obtain wormhole solutions in the framework of general relativity in two different ways. Firstly, we propose a suitable red-shift function in order to find its associated shape function. Afterwards, we solve the inverse problem, namely, we impose the well known Morris–Thorne shape function to obtain the corresponding red-shift. It is found that, on one hand, the first model satisfies all the general requirements of a traversable wormhole. On the other hand, although the second solution violates the null energy condition at the throat as expected, the solution is not asymptotically flat. The study is complemented by analyzing the hydrostatic balance of the system by means of the modified relativistic hydrostatic equilibrium equation.

中文翻译：

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根据 I 类方法可穿越的虫洞

摘要 在这项工作中，我们采用 I 类方法以两种不同的方式获得广义相对论框架下的虫洞解。首先，我们提出了一个合适的红移函数以找到其相关的形状函数。之后，我们解决了逆问题，即我们施加众所周知的莫里斯-索恩形状函数来获得相应的红移。发现，一方面，第一个模型满足可穿越虫洞的所有一般要求。另一方面，虽然第二个解如预期的那样违反了喉部的零能量条件，但该解并不是渐近平坦的。该研究通过使用修正的相对论流体静力平衡方程分析系统的流体静力平衡来补充。