平行引力修正理论相关问题研究

发布时间：2017-12-28 09:34

本文关键词：平行引力修正理论相关问题研究　出处：《上海师范大学》2017年博士论文　论文类型：学位论文

【摘要】：统一理论是物理科学的百年梦想。然而现今物理学理论的两大基石——广义相对论和量子规范理论——之间却格格不入。平行引力理论是爱因斯坦为统一引力和电磁理论而提出的,虽然统一并不成功,但研究表明,该理论实际上是引力的规范场描述。这样,平行引力理论及其修正理论,就可以视为把引力纳入规范理论大框架的理论铺垫。平行引力理论在引力上是等价于广义相对论的,所以近年来广义相对论所面临的宇宙学问题,如宇宙学常数问题,晚期加速膨胀问题,小尺度结构问题等,都存在于平行引力理论之中。正如从广义相对论中发展出了修正引力理论,对平行引力理论也有一些修正理论来直面各种实验观测问题。本文通过数值计算、数据拟合、解析分析等方法,研究了平行引力修正理论中的宇宙大尺度演化历史,太阳系验证,小尺度结构形成等问题。在第二和第三章中,本文主要介绍了平行引力理论作为引力的规范场描述的基础,以及它的修正理论,包括挠率和物质最小耦合和非最小耦合的f(T)理论,以及f(T,τ)引力理论。在第四章中,本文利用Ia型超新星、宇宙微波背景辐射和重子声学振荡的观测数据,对几个特定的平行引力修正理论的宇宙学模型进行数据拟合,并对其模型参数作出限制。通过调节模型参数,本文所考虑的模型均能一定程度上还原宇宙大尺度演化历史,但在宇宙将来归宿上有不同的预测。在第五章中,本文通过相应模型的球对称弱场近似解,研究了平行引力修正理论的太阳系效应,包括引力红移,近日点进动和测地线效应。通过和实验数据对比,这些太阳系内的引力效应也对模型参数作出了限制。对于本文所考虑的几个特定模型,从宇宙学观测数据拟合中选取合适的模型参数,均能很好地描述太阳系内的引力效应。在第六章中,本文进一步利用宇宙学方程研究了平行引力修正理论中的球对称“大礼帽”坍缩和及其位力化,探讨了该理论中的小尺度结构形成。
[Abstract]:The unified theory is a century dream of physical science. However, the two cornerstones of the modern theory of Physics - General Relativity and the theory of quantum norms - are incompatible. Parallel gravity theory is proposed by Einstein for unified gravity and electromagnetic theory. Although the unification is not successful, the research shows that the theory is actually the description of the gauge field of gravitation. In this way, the theory of parallel gravitation and its correction theory can be regarded as the theoretical foundation of bringing gravity into the large framework of normative theory. The theory of parallel gravity is equivalent to general relativity in gravitation. So in recent years, the cosmological problems faced by general relativity, such as cosmological constant problem, late accelerating expansion problem and small scale structure problem, all exist in parallel gravity theory. Just as the theory of modified gravity is developed from the general theory of relativity, there are some revisions to the theory of parallel gravity to face all kinds of experimental observation problems. By means of numerical calculation, data fitting and analytical analysis, we have studied the large-scale evolution history of the universe, the verification of solar system and the formation of small scale structure in parallel gravitation correction theory. In the second and third chapter, this paper mainly introduces the parallel gravitational theory as the basis to describe the gravitational gauge field, and its correction theory, including torsion and material coupled minimal and non minimal coupling f (T) theory, and f (T, t) gravitational theory. In the fourth chapter, we use Ia supernovas, cosmic microwave background radiation and baryon acoustic oscillation data to fit data of cosmological models with several parallel gravitational corrections theory, and limit their model parameters. By adjusting the model parameters, the models considered in this paper can restore the large scale evolution history of the universe to some extent, but there are different predictions for the future fate of the universe. In the fifth chapter, we study the solar system effect of parallel gravitation correction theory, including gravitational redshift, perihelion precession and geodesic effect through the spherical symmetric weak field approximate solution of the corresponding model. By comparing with the experimental data, the gravitational effects in these solar systems also restrict the parameters of the model. For some specific models considered in this paper, selecting the appropriate model parameters from cosmological observation data fitting can well describe the gravitational effect in the solar system. In the sixth chapter, this paper further studied using cosmological equations parallel gravitational correction of spherical symmetry theory "top hat" collapse and virialization, discusses the formation of the theory of small scale structure.
【学位授予单位】：上海师范大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：O412.1

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