宇宙学中表观视界的热力学研究

发布时间：2018-03-23 21:33

本文选题：表观视界　切入点：big　出处：《信阳师范学院》2016年硕士论文

【摘要】：自上世纪八十年代以来,人们对宇宙学展开了大量的科学研究,以天文观测和物理规律为基础的宇宙学理论已经牢固的建立。其中,关于宇宙的起源论文采取的是big bounce宇宙模型,与big bang不同的是,它避免了大爆炸中的奇点。论文中关于5维big bounce宇宙和Horava-Lifshitz宇宙的研究是论文的重点内容,亦是我们的科研工作。在第一章中,论文介绍了宇宙学的天文观测证据和含宇宙学常数的模型、高维引力理论和Horava-Lifshitz引力理论等与论文相关的背景知识。在第二章中,论文以FRW宇宙的表观视界为研究对象,用热力学的方法成功地获得Einstein引力场方程。在第三章中,论文构建了big bounce宇宙热力学和引力场之间的关系,发现bigbounce宇宙的引力场方程可以由热力学第一定律给出。与big bounce宇宙的尺度因子一样,其表观视界同样存在大反弹情形,反弹前视界收缩,反弹后视界膨胀。同时,在big bounce宇宙中,还发现并证明了以辐射占主导的热宇宙和以物质占主导的冷宇宙,都可以给出相同的带有普适状态参数的包含4维de Sitter宇宙的时空结构。在第四章中,论文研究了红外修正Hofava-Lifshitz宇宙表观视界的热力学行为。由于Hofava-Lifshitz引力的不可重整化性质,不能直接用热力学方法得到相应的引力场方程。论文通过对广义的Misner-Sharp质量的计算,成功地通过热力学第一定律获得Horava-Lifshitz宇宙的引力场方程,解决了Horava-Lifshitz引力中无法构建热力学和引力场之间的难题。以上研究结果都旨在解决引力和热力学之间的关系问题。针对不同的研究对象,采用不同的途径,并得到相应的结果。这就是理论物理工作的一般过程。本论文的所有研究结果将为以后的工作提供丰富的参考资料,也为探究宇宙的起源提供一定的理论依据。
[Abstract]:Since the eighties of the last century, a great deal of scientific research has been carried out on cosmology. The cosmological theory based on astronomical observation and physical laws has been firmly established. The origin of the universe is based on the big bounce model, which, unlike big bang, avoids singularities in the Big Bang. The study of the 5-dimensional big bounce universe and the Horava-Lifshitz universe is the focus of the paper. In the first chapter, the author introduces the astronomical observational evidence of cosmology and the models containing cosmological constants, the theory of high-dimensional gravity and Horava-Lifshitz 's theory of gravity, and so on. Taking the apparent horizon of the FRW universe as the object of study, the Einstein gravitational field equation is successfully obtained by thermodynamics. In chapter 3, the relationship between big bounce cosmic thermodynamics and gravitational field is constructed. It is found that the gravitational field equation of the bigbounce universe can be derived from the first law of thermodynamics. Like the scale factor of the big bounce universe, the apparent horizon of the bigbounce universe has a large rebound, the event horizon shrinks before the rebound, and the event horizon expands after the rebound. In the big bounce universe, it is also found and proved that both the thermal universe dominated by radiation and the cold universe dominated by matter can give the same space-time structure of the four-dimensional de Sitter universe with universal state parameters. The thermodynamic behavior of the infrared modified Hofava-Lifshitz cosmic apparent horizon is studied in this paper. Due to the non-renormalization of Hofava-Lifshitz gravity, the corresponding gravitational field equation can not be obtained directly by thermodynamic method. The generalized Misner-Sharp mass is calculated in this paper. The gravitational field equation of the Horava-Lifshitz universe was successfully obtained by the first law of thermodynamics. All the above results are aimed at solving the relationship between gravity and thermodynamics. Different approaches are adopted for different research objects. This is the general process of theoretical physics work. All the results of this paper will provide abundant reference materials for future work, and also provide some theoretical basis for exploring the origin of the universe.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：P159;O412.1

【相似文献】