In this study, we shall explore conformal symmetry to examine the wormhole models by considering traceless fluid. In this regard, we shall take anisotropic fluid with spherically symmetric space-time. Further, we shall calculate the properties of shape-functions, which are necessary for the existence of wormhole geometry. The presence of exotic matter is confirmed in all the cases through the violation of the Null Energy Condition. Furthermore, we have discussed the stability of wormhole solutions through the Tolman–Oppenheimer–Volkoff (TOV) equation. It is observed that our acquired solutions are stable under the particular values of involved parameters in different cases in conformal symmetry.

中文翻译：

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共形对称下广义相对论中的稳定虫洞模型

在这项研究中，我们将通过考虑无痕流体来探索共形对称性来检查虫洞模型。在这方面，我们将采用具有球对称时空的各向异性流体。此外，我们将计算形函数的性质，这是虫洞几何存在所必需的。通过违反空能条件，在所有情况下都证实了奇异物质的存在。此外，我们通过 Tolman-Oppenheimer-Volkoff (TOV) 方程讨论了虫洞解的稳定性。可以观察到，我们获得的解决方案在共形对称的不同情况下在所涉及参数的特定值下是稳定的。