标题： 非最小暗能量模型的框架比较：乔丹框架与爱因斯坦框架 显示英文标题

标题： Comparison of Frames: Jordan vs Einstein Frame for a Non-minimal Dark Energy Model

摘要： 我们构建了一个暗能量模型，其中标量场与引力非最小耦合，起到了暗组分的作用。 我们在乔丹框架和爱因斯坦框架中，比较了这种标量场与引力的非最小耦合在暗能量范式中的宇宙学后果。 在这些框架中，一些重要问题如幻影分割线穿越、反弹解的存在性以及解的稳定性进行了比较。 我们表明，虽然乔丹框架中的非最小耦合标量场是一个合适的暗能量组分，能够实现幻影分割线穿越，但其在爱因斯坦框架中的共形变换不具备这种能力。 从乔丹框架到爱因斯坦框架的共形变换将暗能量组分的状态方程参数转换为其最小形式，并重新定义了标量场，在这种情况下，无法实现可能穿越幻影分割线的幻影相。 显示英文摘要

摘要： We construct a dark energy model where a scalar field non-minimally coupled to gravity plays the role of the dark component. We compare cosmological consequences of this non-minimal coupling of the scalar field and gravity in the spirit of the dark energy paradigm in Jordan and Einstein frames. Some important issues such as phantom divide line crossing, existence of the bouncing solutions and the stability of the solutions are compared in these two frames. We show that while a non-minimally coupled scalar field in the Jordan frame is a suitable dark energy component with capability to realize phantom divide line crossing, its conformal transformation in the Einstein frame has not this capability. The conformal transformation from Jordan frame to Einstein frame transforms the equation of state parameter of the dark energy component to its minimal form with a redefined scalar field and in this case it is impossible to realize a phantom phase with possible crossing of the phantom divide line.