Homogeneous Anisotropic Cosmology

• Main Authors: Yu-Hui Yang, 楊宇輝
• Other Authors: Hing-Tong Cho
• Format: Others
• Language: zh-TW
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/hs8uu8

碩士 === 淡江大學 === 物理學系碩士班 === 106 === A variety of evidence shows that:Space is homogeneous isotropic on a large scale. Since the shape of the space is expressed in terms of a metric tensor, it means that the metric tensor does not change with the position and direction. Although the current large-scale universe is homogeneous and isotropic, it cannot exclude the possible non-isotropy of the early universe. This thesis introduced a homogeneous but anisotropic universe. The assumption of this model is that the Universe has the same metrics at every point in its space and that the metrics in each direction of space are not necessarily the same. It can satisfy four-dimensional symmetry groups and three-dimensional symmetry groups, which are called Kantowski-Sachs models and Bianchi metrics,respectively. The basic theory that needs to be used to describe this type of universe is general relativity and group theory. I have found in recent textbooks that the introduction of these two theories is rather abstract. For example, covariant derivative, Lie derivative: they all have their intuitive meaning. Although the creation of these two concepts does not require the use of higher-dimensional Cartesian coordinates, the inspiration must have come up when people observe the two-dimensional curved space in three-dimensional flat space. In addition, having intuitive sensations makes it easier to learn and teach. The basic theory involved in this thesis is made as intuitive as possible.