【作者】 刘燕；

【导师】 荆继良；

【作者基本信息】 湖南师范大学 ， 天体物理， 2012， 硕士

【摘要】 黑洞Hawking辐射是理论物理学科中的一个重大发现。它的出现是广义相对论、量子力学和热力学的有机结合的产物。经过近四十年的研究,在理论上人们已不再怀疑它的正确性,但在实验上至今尚未对这一预言给予验证。即便如此,对黑洞的理论研究已经揭示出了一些涉及物理学基本观念的问题,具有非常重要的意义,值得进一步深入讨论。本文就当前学术界所关心的Einstein-Power-Maxwell引力理论及非最小耦合RβF2-型Einstein-Maxwell理论得到的新型黑洞的Hawking辐射、灰度因子及标量场演化等问题进行了深入细致的研究,主要完成了以下两方面的工作：第一方面、三维Einstein-Power-Maxwell黑洞是没有对Maxwell能量动量张量强加任何限制条件的黑洞解。我们采用解析方法研究了三维Einstein-Power-Maxwell黑洞中无质量标量场的微扰演化。并且得到了它的灰度因子的表达式,发现该解析结果在全频率范围都成立,它的值随着电荷量Q的增加而增加,且在频率很大时趋近于一个常数。我们还找到了黑洞时空的似正规模,由此得出Einstein-Power-Maxwell黑洞时空非常稳定的结论。第二方面、我们采用解析方法研究了非最小耦合RβF2-型Einstein-Maxwell黑洞中无质量标量场的Hawking辐射和灰度因子。发现黑洞时空的渐近结构是由实幂指数β决定的,由于β值的变化,时空结构发生变化,其相应的Hawking辐射和灰度因子的变化规律也发生变化。且耦合常数a。和电荷量q值的变化也会影响Hawking辐射和灰度因子的变化规律。更多还原

【Abstract】 Hawking radiation of black hole is an important discovery in theoretical physics, which is an output of the combination among general relativity, quan-tum mechanics and thermodynamic. After studying almost40years, poeple no longer doubt its theoretical rightness, but its experimental test has not been pre-sented till now. Nevertheless, the property of black hole has revealed some basic concepts of the physics, which is extremely significant in the history of science and worth further discussion. This paper is devoted to the investigation of some basic problems concerned by black hole physicist, including Hawking radiation, grey-body factor and evolution of a scalar field in the Einstein-Power-Maxwell theory and the non-minimal RβF2-type coupled Einstein-Maxwell theory. Two works have been listed as follows:Firstly,(2+1)-dimensional Einstein-Power-Maxwell black hole is a black hole solution which without imposing the traceless condition to Maxwell’s energy mo-mentum tensor. By using analytical method, we study the dynamical evolution of the massless scalar field in the background of (2+1)-dimensional Einstein-Power-Maxwell black hole. We obtain an analytical expression for the greybody factor which is valid for any frequency and shows that the greybody factor increases as the electric chargeQ increases and approaches to unity for large frequencies. We also find the quasinormal modes of the black hole which tell us that the Einstein-Power-Maxwell spacetime is very stable.Secondly, by using analytical method, we investigate the Hawking radiation and greybody factor for a massless scalar field in the background of black holes in non-minimal RβF2-type coupled Einstein-Maxwell theory. For different asymp-totic structures caused by the real power number,β, we find that the influences of β on the Hawking radiation and greybody factor are different. We also show that the different coupling constant aο and charge q also affects the Hawking radiation and greybody factor.更多还原