We have examined tilted cosmological models by using conformally flat space-time with wet dark fluid in Lyra geometry. In order to solve the field equations we have considered a power law. In this paper we have discussed tilted universe with time-dependent displacement field vector, heat conduction vectors and also discussed big rip singularity. Some physical and geometrical properties are also investigated. We have also extended our work to investigate the consistency of the derived model with observational parameter from the point of astrophysical phenomenon such as look-back time-redshift, proper distance, luminosity distance, angular-diameter distance and distance modulus.

中文翻译：

---

天琴座几何中具有大裂口奇点的倾斜宇宙

我们通过在天琴座几何中使用具有湿暗流体的保形平坦时空来检查倾斜的宇宙模型。为了求解场方程，我们考虑了幂律。在本文中，我们讨论了具有时间相关位移场矢量、热传导矢量的倾斜宇宙，还讨论了大裂口奇点。还研究了一些物理和几何特性。我们还扩展了我们的工作，从回溯时间红移、适当距离、光度距离、角直径距离和距离模量等天体物理现象的角度研究了导出模型与观测参数的一致性。