本文選題：黑洞　切入點(diǎn)：散射　出處：《湖南師范大學(xué)》2015年博士論文　論文類型：學(xué)位論文

【摘要】：黑洞散射在黑洞物理和散射理論中非常讓人感興趣的研究課題。目前在理論界非常有效的研究黑洞特性方式就是研究黑洞對(duì)物質(zhì)的散射。在本畢業(yè)論文的第二章中,我們研究了含有整體單極子一般靜態(tài)球?qū)ΨQ黑洞中無(wú)質(zhì)量標(biāo)量場(chǎng)的吸收問(wèn)題。我們主要運(yùn)用散射理論的分波的方法,計(jì)算出了含有整體單極子一般靜態(tài)球?qū)ΨQ黑洞中無(wú)質(zhì)量標(biāo)量場(chǎng)的吸收截面,并分析了各分波的特點(diǎn)和對(duì)總吸收截面的貢獻(xiàn)。在第三章中,我們通過(guò)數(shù)值方法求解出吸收截面并發(fā)現(xiàn)角量子數(shù)l越大,對(duì)應(yīng)的分波截面最大值越小。同Schwarzschild黑洞相比,Bardeen黑洞的吸收截面不論是在低頻還是高頻都加強(qiáng)了。在高頻位置,吸收截面圍繞著幾何光學(xué)值振蕩。一般而言,散射流在入射方向都是加強(qiáng)的,并且散射寬度會(huì)變窄。在不同的Bardeen黑洞中散射的特性有較大的區(qū)別。在第四章中,我們研究了Bardeen黑洞對(duì)Dirac場(chǎng)的散射。通過(guò)數(shù)值求解吸收截面,我們發(fā)現(xiàn)角量子數(shù)l越大,對(duì)應(yīng)的分波吸收截面最大值越小。當(dāng)電磁單極子荷β增加,吸收截面和Hawking輻射功率譜增加,單吸收率和光度值降低。在第五章中,我們分析了類Schr¨odinger標(biāo)量波方程并用WKB近似方法計(jì)算了與背景幾何時(shí)空任意耦合的場(chǎng)透射系數(shù)。我們通過(guò)數(shù)值方法計(jì)算了吸收截面并對(duì)高頻部分進(jìn)行了分析。我們發(fā)現(xiàn)吸收截面圍繞著幾何極限值振蕩并且這些振蕩的值在高頻部分也是一致的。在第六章中,我們考慮修正到Planck長(zhǎng)度各階的量子態(tài)密度,并計(jì)算了標(biāo)量場(chǎng)在Bardeen黑洞中的統(tǒng)計(jì)力學(xué)熵。我們得到黑洞視界面內(nèi)熵的分布情況,在視界面附近的區(qū)域?qū)氐呢暙I(xiàn)最大。
[Abstract]:Black hole scattering is a very interesting research topic in black hole physics and scattering theory. In this paper, we study the absorption of massless scalar fields in a general static spherically symmetric black hole with a global monopole. The absorption cross sections of the massless scalar field in a general static spherically symmetric black hole with monopole are calculated, and the characteristics of each component wave and its contribution to the total absorption cross section are analyzed. By numerical method, we find that the larger the angular quantum number l, the smaller the maximum partial cross section. Compared with the Schwarzschild black hole, the absorption cross section of the Schwarzschild black hole is enhanced both at low frequency and high frequency. The absorption cross section oscillates around the geometric optical value. Generally speaking, the scattering flow is strengthened in the incident direction and the scattering width will narrow. The scattering characteristics in different Bardeen black holes are different. In Chapter 4th, We study the scattering of Dirac field from Bardeen black hole. By numerically solving the absorption cross section, we find that the larger the angular quantum number l, the smaller the maximum absorption cross section of the corresponding partial wave. The absorption cross section and Hawking radiation power spectrum increase, and the single absorptivity and luminosity decrease. In Chapter 5th, In this paper, we analyze the scalar wave equation similar to Schr odinger and calculate the field transmission coefficient coupled arbitrarily with the background geometry by using the WKB approximation method. We calculate the absorption cross section by numerical method and analyze the high frequency part. The absorption cross section oscillates around the geometric limit values and the values of these oscillations are consistent in the high frequency section. In Chapter 6th, We consider modifying the quantum density of states of the Planck length and calculate the statistical mechanical entropy of the scalar field in the Bardeen black hole. We obtain the distribution of the entropy in the black hole's apparent interface, and the most important contribution to the entropy is in the region near the apparent interface.
【學(xué)位授予單位】：湖南師范大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2015
【分類號(hào)】：P145.8

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本文編號(hào)：1560339