标题： 标量-张量引力理论中宇宙学观测的共形框架依赖性 显示英文标题

标题： Conformal Frame dependence on Cosmological Observations in Scalar-Tensor Theories of Gravity

摘要： 宇宙学观测为宇宙的背景演化和结构形成提供了更精确的值。 这些值由所谓的暗能量状态方程$\omega$和增长指数参数$\gamma$给出。 从这些观测参数中，可以重构标量-张量引力理论中的模型函数。 然而，在标量-张量引力模型中，关于共形变换框架之间的（不）等性存在长期的争论。 我们表明，当用与框架无关的参数红移描述时，宇宙学观测是框架依赖的。 因此，如果在某一框架中解释宇宙学观测，则所有观测也应在该框架中解释。 这明确展示了宇宙学观测的共形不等性。 此外，我们的方法为STG模型在两种框架下的各种观测提供了模型无关的分析。 显示英文摘要

摘要： Cosmological observations provide more accurate values both for background evolution of the Universe and for the structure formation. These values are given by the so-called dark energy equation of state, $\omega$ and the growth index parameter, $\gamma$. From these observed parameters, one can reconstruct the model functions in scalar tensor gravity theories. However, there is a long standing debate about the (in)equality between conformally transformed frames in scalar tensor gravity models. We show that cosmological observables are frame dependent when they are described by frame independent parameter, redshift. Thus, if the cosmological observables are interpreted in one frame, then all of the observables should also be interpreted in that frame. This explicitly shows the conformal inequality of cosmological observables. Also, our method provides the model independent analysis for STG models about various observables in both frames.