中文题名: | 用极端黑洞检验宇宙监督假设 |
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学科代码: | 070201 |
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学生类型: | 硕士 |
学位: | 理学硕士 |
学位年度: | 2013 |
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研究方向: | 引力与相对论 |
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提交日期: | 2013-06-13 |
答辩日期: | 2013-05-30 |
外文题名: | Testing Cosmic Censorship Conjecture with Extremal Black Holes |
中文摘要: |
Penrose在1969年提出的宇宙监督假设断言宇宙中不存在裸奇点,这意味着引力坍缩导致的时空奇性总是被黑洞的视界隐藏起来,不能够被无穷远处的观者观察到。本文分别在渐近平直时空中和渐近anti-de Sitter时空中,列出了两种违反宇宙监督假设的可能性。首先,对于极端情况下的Kerr-Newman黑洞,如果发射一个带有电荷和角动量的试探粒子使其被黑洞俘获,在粒子能量取值合适的情况下,黑洞携带的电荷和角动量会超过临界值,从而导致黑洞视界的瓦解。而对于渐近anti-de Sitter时空中的带电黑洞,本文也证明了类似的结论。另外,由于粒子的能量既不能过大,否则黑洞的电荷或角动量将不会溢出临界值;也不能过小,否则在进入黑洞视界之前,粒子就会被弹出,因此所允许的粒子能量的取值区间非常狭窄。而对于渐近de Sitter时空中的带电黑洞,本文证明了不能用类似的方法来得到宇宙监督假设的反例。因为没有考虑到粒子对黑洞的反作用以及self-force作用带来的能量修正,所以这种可能性还不能完全被证实。
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外文摘要: |
The cosmic censorship conjecture given by Penrose in 1969 claims that there is no naked singularity exists in our universe, which means that the space time singularity caused by a gravitational collapse is always enveloped by a black hole horizon, thus beyond the sight of the observers at a infinite large distance. However, this paper has demonstrated two possible examples that in contravention of the cosmic censorship conjecture.First, suppose we launch a test particle carrying a charge as well as a angular momentum towards a extremal Kerr-Newman black hole. If the energy of the test particle has been set correctly, the particle will be captured by the black hole, while at the same time, the charge and angular momentum the black hole carries will exceed the critical value, causing the disintegration of the black hole horizon. Also, the author has proved a similar case in regard to the charged black hole in asymptotically anti-de Sitter space time. In addition, the allowed range for the energy of the test particle is quite narrow, for the energy can neither be too large or too small. In the former situation, the the exceeding of the black hole charge along with the angular momentum may not possible; an under the latter circumstance, the test particle might rebound before entering the black hole horizon. As for the charged black hole in the asymptotically anti-de Sitter space time, such violations against the cosmic censorship does not exist. The author also pointed out the possibilities have not yet been fully testified, because the back reaction and self-force effect may prevent the violation of the cosmic censorship.
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参考文献总数: | 34 |
馆藏号: | 硕070201/1313 |
开放日期: | 2013-06-13 |