引力理论中若干问题的研究

发布时间：2018-01-05 20:41

本文关键词：引力理论中若干问题的研究　出处：《信阳师范学院》2015年硕士论文　论文类型：学位论文

【摘要】：2009年,Horava通过引入Lifshitz各向异性时空标度提出一种新的重整化理论,即Horava-Lifshitz引力理论,简称HL引力。之后,关于该理论的黑洞方面和宇宙学方面的性质备受人们关注。本文在HL引力理论下主要研究了Horava-Lifshitz引力理论中的霍金辐射以及全息超导。引力理论的研究是理论物理中的重要组成部分,本文关于引力理论中相关问题的研究,主要包括以下几个部分：在第一章中,本文主要论述了黑洞、Horava-Lifshitz引力和全息超导相关的理论背景。在第二章中,研究了关于z=4HL引力中的自引力相互作用。在z--4处HL引力下的(3+1)维和(4+1)维黑洞中,研究了霍金辐射下自引力相互作用的影响。根据测地线方法获得了辐射粒子的作用量虚部,并获得辐射粒子的遂穿熵。结果表明(3+1)维与(4+1)维黑洞的遂穿粒子的熵与该黑洞的热力学熵是一致的。对量子遂穿过程的研究有助于我们更好地理解Horava-Lifshitz引力理论。在第三章中,我们用新的Hamilton-Jacobi方法重新计算了红外修正下的Horava-Lifshitz引力(IRDHL)中的霍金辐射,尤其是全面的分析了IRDHL中渐近平坦的Kehagias-Sfetsos模型和渐近非平坦的Park模型。发现用新的Hamilton-Jacobi方法在技术层面得到了简化。在新的Hamilton-Jacobi观点下,熵表达式的修正项由霍金辐射自引力的物理解释给出。我们的研究又提供了一种对数修正熵存在的证据。在第四章中,对全息超导方面进行了相关研究,重现了基本模型中的凝聚行为和电导率,得到了凝聚图像和电导率随频率变化的图像,并对不同维度的全息凝聚做了相关计算和分析。
[Abstract]:In 2009, Horava proposed a new renormalization theory, Horava-Lifshitz gravity theory, by introducing Lifshitz anisotropic space-time scale. For short, HL gravity. The properties of black hole and cosmology in this theory have attracted much attention. In this paper, the Hawking radiation and holography in Horava-Lifshitz 's theory of gravity are studied under the HL gravitation theory. Superconducting. The study of gravity theory is an important part of theoretical physics. In the first chapter, the theoretical background of the correlation between Horava-Lifshitz gravity and holographic superconductivity is discussed. In the second chapter, we study the self-gravitational interaction in z-4HL gravity. In the case of 1-1D black hole and 41D black hole under z-4 HL gravity. The influence of self-gravity interaction under Hawking radiation is studied. The imaginary part of the action of radiation particles is obtained by geodesic method. The tunneling entropy of the radiation particle is obtained. The results show that the dimension of the radiation particle is 31D and 41D. The entropy of the tunneling particle of the dimensional black hole is consistent with the thermodynamic entropy of the black hole. The study of the quantum tunneling process is helpful for us to better understand Horava-Lifshitz 's theory of gravity. In chapter three. We recalculate the Hawking radiation in the IR modified Horava-Lifshitz Gravitation (IRDHL) by using a new Hamilton-Jacobi method. In particular, the asymptotically flat Kehagias-Sfetsos model and asymptotically non-flat Park model in IRDHL are analyzed. Bi method has been simplified at the technical level. Under the new Hamilton-Jacobi viewpoint. The modified term of entropy expression is given by the physical explanation of Hawking radiation self-gravity. Our study provides a proof of the existence of logarithmic modified entropy. In Chapter 4th, the holographic superconductivity is studied, and the condensing behavior and conductivity in the basic model are reproduced, and the condensed image and the image of conductivity changing with frequency are obtained. The holographic condensation of different dimensions is calculated and analyzed.
【学位授予单位】：信阳师范学院
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：P131

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