论文标题
不均匀宇宙学的准经典模型
Quasiclassical model of inhomogeneous cosmology
论文作者
论文摘要
量子状态的波动术语和较高的力矩意味着对可能对早期宇宙宇宙学有影响的经典运动方程式进行校正，例如以状态依赖性的有效潜力形式。此外，时空属性与宇宙学有关，特别是与以一致的方式保持一般协方差所需的量子校正相结合。在这里，提出了将静态准时空模型的先前研究扩展到动力学模型，描述了一维空间的演变，就像经典的Lemaitre--Tolman-Bondi模型中一样。相应的空间度量具有两个独立的组件，这两个组件通常都受量子波动。主要的结果是，从两个组成部分中的单个力矩确实需要保持一般协方差才能保持在半经典级别，而组件之间的量子相关性较小。
Fluctuation terms and higher moments of a quantum state imply corrections to the classical equations of motion that may have implications in early-universe cosmology, for instance in the state-dependent form of effective potentials. In addition, space-time properties are relevant in cosmology, in particular when combined with quantum corrections required to maintain general covariance in a consistent way. Here, an extension of previous investigations of static quasiclassical space-time models to dynamical ones is presented, describing the evolution of 1-dimensional space as in the classical Lemaitre--Tolman--Bondi models. The corresponding spatial metric has two independent components, both of which are in general subject to quantum fluctuations. The main result is that individual moments from both components are indeed required for general covariance to be maintained at a semiclassical level, while quantum correlations between the components are less relevant.
