【作者】 李平；

【导师】 胡显茹；

【作者基本信息】 兰州大学 ， 物理学·理论物理， 2019， 硕士

【摘要】 广义相对论自提出以来,虽然取得了极大的成功,但也存在着一些问题,比如宇宙早期的暴涨机制。因此为了解释早期宇宙暴涨,各种修改引力理论被提出,比如张量标量理论,EiBI引力理论,Rainbow引力等等。另外对于黑洞热力学的研究使我们认识到引力与热力学可能存在着深刻的关系。在这篇论文中,我们将主要讨论三个方面。首先,我们回顾了修改引力中的一个候选者:张量标量引力理论。在这一部分,张量标量引力理论的两个分支Jordan框架和Einstein框架分别被学习。此外,张量标量引力理论的一个分支Chameleon模型被学习。其次,我们将EiBI引力与Rainbow引力结合,得到了探测粒子的能量随宇宙物质密度的演化关系。此外,我们发现对于不同的Rainbow函数,可以得到宇宙演化的光速可变理论,并给出了其详细的表达式。最后,我们讨论了带电反德西特黑洞在Rainbow引力下的热力学性质,并基于热容随视界半径的变化讨论了黑洞的稳定性。此外,我们也研究了这种黑洞的类Van-der-Waals气体的性质,结果显示该该黑洞可能存在着一级相变。更多还原

【Abstract】 Although General Relativity obtains a great success,its deficiencies are gradually discovered.The most confusing question is the inflation of early universe.In order to address the question,a variety of deformed gravity theories are proposed,such as,Tensor-Scalar theory,Eddington-inspired Born-Infeld(EiBI)theory and Rainbow Gravity.In addition,the discovery of black hole thermodynamics gives a new route to study gravitation.In this paper,we mainly study three parts.Firstly,we review Scaler-Tensor theory of gravitation.In the part,two branches of ScalerTensor theory of gravitation are studied respectively,Jordan frame and Einstein frame.Moreover,a specific scalar-tensor gravity(chameleon mode)is studied.Then,by combining EiBI gravity and rainbow gravity,the changing trend of the energy of test particle is showed with the cosmic energy density.In addition,the theory of varying speed of light is studied.For three rainbow functions,their expressions about light speed are obtained.Last,we study charged AdS black hole thermodynamics in rainbow gravity.The stability of the black hole is showed with the help of thermal capacity.Moreover,an analogy of the system with van der Waals gas is discovered,which related to first order phase transition.更多还原