矢量粒子隧穿、量子引力修正及相关问题研究

发布时间：2018-11-28 11:25

【摘要】：本文对作者在硕士期间的研究成果进行了总结,具体分为以下章节:第一章简要介绍黑洞的基本知识。我们介绍爱因斯坦场方程得到各种黑洞解,重点阐述黑洞的热力学性质,并对本论文的研究背景和意义进行了阐述。第二章介绍在矢量粒子隧穿方面的研究工作。量子隧穿模型是一种有效研究黑洞霍金辐射的理论方法。考虑变化的背景时空和能量守恒后,得到的黑洞辐射谱不再是纯热谱。该结果为信息疑难提供了一种可能的解释。基于上述模型,径向测地线法和哈密顿-雅克比方法在该文中被详细介绍,它们都是通过求解粒子隧穿的粒子作用量研究黑洞辐射。本章采用量子隧穿模型分别对矢量粒子在Dilaton时空和Kerr时空的隧穿行为进行了研究,得到粒子的隧穿率和标准的霍金温度。第三章介绍隧穿辐射的量子修正。量子引力理论揭示了最小可观测尺度的存在,该理论包含弦论、圈量子引力、双重狭义相对论等多种理论模型。本文采用广义测不准关系和双重狭义相对论对粒子隧穿辐射进行了研究,得到修正的霍金温度。该温度低于标准霍金温度,表明量子引力效应减缓黑洞蒸发,黑洞不能完全蒸发,残余物质存在。第四章给出了总结和对今后工作的设想。
[Abstract]:In this paper, the author's research results during his master's period are summarized, which are divided into the following chapters: the first chapter briefly introduces the basic knowledge of black holes. We introduce the Einstein field equation to obtain various solutions of black holes, focusing on the thermodynamic properties of black holes, and the background and significance of this paper. The second chapter introduces the research work of vector particle tunneling. Quantum tunneling model is an effective theoretical method for studying Hawking radiation of black holes. Considering the change of background space-time and energy conservation, the radiation spectrum of black hole is no longer pure thermal spectrum. This result provides a possible explanation for the difficulty of information. Based on the above model the radial geodesic method and the Hamilton-Jacobian method are introduced in detail in this paper. Both of them study the radiation of black hole by solving the particle interaction of particle tunneling. In this chapter, quantum tunneling model is used to study the tunneling behavior of vector particles in Dilaton spacetime and Kerr spacetime, and the tunneling rate of particles and the standard Hawking temperature are obtained. Chapter three introduces quantum correction of tunneling radiation. The theory of quantum gravity reveals the existence of the least observable scale. The theory includes string theory, loop quantum gravity, double special relativity and other theoretical models. In this paper, the particle tunneling radiation is studied by using the general uncertainty relation and the double special relativity theory, and the modified Hawking temperature is obtained. The temperature is lower than the standard Hawking temperature, which indicates that the quantum gravitational effect can slow down the black hole evaporation, the black hole can not completely evaporate, and the residual matter exists. The fourth chapter gives the summary and the tentative plan for the future work.
【学位授予单位】：西华师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：P145.8;O413

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