标题： 相互作用场宇宙学模型在Lyra几何中 显示英文标题

标题： Interacting Field Cosmological Model in Lyra Geometry

摘要： 本文在Lyra流形框架内探讨了一个平面对称的宇宙学模型，该模型考虑了各种场之间的相互作用。 这些场包括带电完美流体、无质量标量场和电磁场。 研究重点是推导这个复杂系统的相对论场方程和精确解。 假设标量场（\b{eta}）与平均尺度因子（a(t)）之间以及度规势之间的关系可以解决非线性场方程。 检查了两种特定的膨胀模型：1）指数膨胀和2）幂律膨胀。 研究深入探讨了动态参数的行为，观察了不同模型中压力、密度和宇宙学参数的变化。 研究结果表明，尽管宇宙在膨胀，但不同模型之间的膨胀速率可能会有所不同。 该研究还涉及运动学参数，如从尺度因子变化中得出的急动度和跃度参数，并将它们与{\Lambda }CDM模型进行比较。 显示英文摘要

摘要： The paper explores a plane symmetric cosmological model within the framework of the Lyra manifold, incorporating interactions among various fields. These fields include a charged perfect fluid, a mass-less scalar field, and an electromagnetic field. The study focuses on deriving relativistic field equations and exact solutions for this complex system. The relationships between the scalar field (\b{eta}) and the average scale factor (a(t)), as well as between the metric potentials, are assumed to solve the nonlinear field equations. Two specific expansion models are examined: 1) Exponential expansion and 2) Power law expansion. The research delves into the dynamic parameters behavior, observing changes in pressure, density, and cosmological parameters across different models. The findings indicate that while the Universe is expanding, the rate of expansion can vary among the different models. The investigation also involves kinematic parameters, such as jerk and snap parameters derived from the scale factor variation, and compares them to the {\Lambda}CDM model.