黑洞时空对物质场的散射
发布时间：2018-07-27 21:05
【摘要】：黑洞作为一类极其特殊的天体,在广义相对论以及量子引力理论中都是重要的研究对象。自上世纪70年代霍金辐射发现以来,人们通过研究黑洞与其周围物质场的相互作用来了解其内部物理结构。本文主要工作是研究了不同黑洞时空在不同条件下对其周围物质场的吸收和散射截面特征,揭示黑洞对物质场的散射规律。 本文第二章中,我们利用灰度因子计算了在暗能量影响下史瓦希黑洞对无质量标量场的吸收截面。计算结果表明被quintessence包围的史瓦希黑洞时空对标量场的吸收截面在光学极限附近振动,并且随暗能量的状态参量ωq减小而减小。在随后几章中(第三至五章),我们利用分波法和数值计算法分别计算了不同黑洞时空在不同情形时对其周围物质场的吸收和散射截面。 本文第三章中,我们计算了Horava-Lifshitz引力理论中黑洞时空对无质量标量场的散射。我们可以从数值结果看到：在HL引力理论中黑洞时空对无质量标量场的吸收截面随耦合系数α增加而减小；各分波的微分散射截面曲线随着角动量l增加而变得复杂；对于确定频率ω,当耦合系数α增加时,散射耀斑值随之降低,角宽随之变宽。 本文第四章中,我们计算了GSH黑洞时空对无质量标量场的散射。从计算结果我们可以看到,磁参数α相同时,各分波吸收截面随l增加而降低；对于确定角动量l,吸收截面随磁参数α降低而增加；散射角宽随l增加而变窄,其阻尼振动模型也变得更加复杂。 本文第五章中,我们计算了存在宇宙弦时球对称黑洞时空对无质量狄拉克场的吸收和散射截面。对于这四种不同黑洞时空,计算结果表明其吸收截面随着参数b(b=1-4μ)的增加而增加；对于频率较高的分波,主散射角宽变窄；当宇宙弦线密度μ较大时其耀斑角宽变大。
[Abstract]:As a special kind of celestial body, black hole is an important research object in general relativity and quantum gravitation theory. Since the discovery of Hawking radiation in 1970s, the physical structure of black hole has been studied by studying the interaction between black hole and its surrounding mass field. The main work of this paper is to study the absorption and scattering cross section characteristics of the mass field around black hole under different conditions, and to reveal the scattering law of black hole to matter field. In the second chapter, we calculate the absorption cross section of the massless scalar field by using the gray factor under the influence of dark energy. The results show that the absorption cross section of the scalar field in the space-time of the quintessence black hole vibrates near the optical limit and decreases with the decrease of the state parameter 蠅 Q of the dark energy. In the following chapters (chapters 3 to 5), we calculate the absorption and scattering cross sections of mass fields around black holes under different conditions by using the fractional wave method and the numerical method, respectively. In chapter 3, we calculate the scattering of black hole space-time to massless scalar field in Horava-Lifshitz 's theory of gravity. We can see from the numerical results that the absorption cross section of the mass free scalar field decreases with the increase of coupling coefficient 伪, the differential scattering cross section curve of each fractional wave becomes more complicated with the increase of angular momentum in HL gravity theory, and the absorption cross section of the mass free scalar field decreases with the increase of coupling coefficient 伪. For given frequency 蠅, when the coupling coefficient 伪 increases, the scattering flare value decreases and the angle width becomes wider. In chapter 4, we calculate the scattering of GSH black hole spacetime to massless scalar field. From the calculation results, we can see that when the magnetic parameter 伪 is the same, the absorption cross sections decrease with the increase of l; for the determination of angular momentum l, the absorption cross sections increase with the decrease of magnetic parameter 伪, and the scattering angle widths become narrower with the increase of l. The damping vibration model becomes more complicated. In chapter 5, we calculate the absorption and scattering cross sections of the space-time of spherically symmetric black hole to the massless Dirac field in the presence of cosmic chords. For these four black holes, the calculated results show that the absorption cross section increases with the increase of the parameter b (b ~ (1-4 渭), the main scattering angle becomes narrower for the higher frequency partial waves, and the flare angle widens when the cosmic chord density 渭 is larger.
【学位授予单位】：湖南师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P145.8
[Abstract]:As a special kind of celestial body, black hole is an important research object in general relativity and quantum gravitation theory. Since the discovery of Hawking radiation in 1970s, the physical structure of black hole has been studied by studying the interaction between black hole and its surrounding mass field. The main work of this paper is to study the absorption and scattering cross section characteristics of the mass field around black hole under different conditions, and to reveal the scattering law of black hole to matter field. In the second chapter, we calculate the absorption cross section of the massless scalar field by using the gray factor under the influence of dark energy. The results show that the absorption cross section of the scalar field in the space-time of the quintessence black hole vibrates near the optical limit and decreases with the decrease of the state parameter 蠅 Q of the dark energy. In the following chapters (chapters 3 to 5), we calculate the absorption and scattering cross sections of mass fields around black holes under different conditions by using the fractional wave method and the numerical method, respectively. In chapter 3, we calculate the scattering of black hole space-time to massless scalar field in Horava-Lifshitz 's theory of gravity. We can see from the numerical results that the absorption cross section of the mass free scalar field decreases with the increase of coupling coefficient 伪, the differential scattering cross section curve of each fractional wave becomes more complicated with the increase of angular momentum in HL gravity theory, and the absorption cross section of the mass free scalar field decreases with the increase of coupling coefficient 伪. For given frequency 蠅, when the coupling coefficient 伪 increases, the scattering flare value decreases and the angle width becomes wider. In chapter 4, we calculate the scattering of GSH black hole spacetime to massless scalar field. From the calculation results, we can see that when the magnetic parameter 伪 is the same, the absorption cross sections decrease with the increase of l; for the determination of angular momentum l, the absorption cross sections increase with the decrease of magnetic parameter 伪, and the scattering angle widths become narrower with the increase of l. The damping vibration model becomes more complicated. In chapter 5, we calculate the absorption and scattering cross sections of the space-time of spherically symmetric black hole to the massless Dirac field in the presence of cosmic chords. For these four black holes, the calculated results show that the absorption cross section increases with the increase of the parameter b (b ~ (1-4 渭), the main scattering angle becomes narrower for the higher frequency partial waves, and the flare angle widens when the cosmic chord density 渭 is larger.
【学位授予单位】：湖南师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P145.8
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