E（2）群上的时空规范理论

发布时间：2019-05-05 06:31

【摘要】：单纯使用广义相对论而不引入暗物质暗能量的情况下,无法解释很多观测现象,比如星系自转曲线问题,宇宙膨胀问题。但是暗物质的所有探寻实验都无法给出明确结果,暗能量的本质更是一个谜团。考虑到宇宙学尺度上存在某些洛伦兹破缺的迹象,而太阳系尺度却严格遵循洛伦兹不变性,因此我们可以自然的假设:洛伦兹对称性是从星系以上尺度开始部分破缺,而暗物质现象可能就是洛伦兹破缺导致的效应。由此,我们以非常狭义相对论的对称群E(2)群为例,用规范理论构造了大尺度有效引力理论,并分析了此规范理论的自洽性。从这些讨论中发现,当物质源即使为普通标量物质时,contortion也一般非零,非零contortion的存在确实会贡献一个等效能量动量张量的分布,它可能对暗物质效应给出部分甚至全部的贡献。本文从对称性出发修改引力,有别于其它的修改引力理论。
[Abstract]:The simple use of general relativity without introducing dark matter dark energy does not explain many observational phenomena, such as the rotation curve of galaxies and the expansion of the universe. But none of the experiments with dark matter gives clear results, and the nature of dark energy is a mystery. Considering that there are some signs of Lorentz breaking on the cosmological scale, while the solar system scale strictly follows Lorentz invariance, we can assume naturally that the Lorentz symmetry is partially broken from the scale above the galaxy. The dark matter phenomenon may be the result of Lorentz breaking. Therefore, taking the symmetric group E (2) group of very special relativity as an example, we construct a large-scale effective gravity theory by using gauge theory, and analyze the self-consistency of this gauge theory. From these discussions, it is found that contortion is generally non-zero when the material source is even ordinary scalar matter. The existence of non-zero contortion does contribute to the distribution of equivalent energy momentum Zhang Liang, which may give some or even all contributions to the dark matter effect. In this paper, gravity is modified on the basis of symmetry, which is different from other modified gravity theory.
【学位授予单位】：华东师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O412.1

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