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中文题名:

 量子薄球壳动力学与宇宙监督假设    

姓名:

 牟江红    

学科代码:

 070201    

学科专业:

 理论物理    

学生类型:

 硕士    

学位:

 理学硕士    

学位年度:

 2011    

校区:

 北京校区培养    

学院:

 物理系    

研究方向:

 广义相对论    

第一导师姓名:

 高思杰    

第一导师单位:

 北京师范大学物理系    

提交日期:

 2011-06-28    

答辩日期:

 2011-06-03    

外文题名:

 Quantum shell dynamics and the cosmic censorship    

中文摘要:
在本文中,我们将讨论一个被薄球壳连接起来的两个时空区域组成的结构。之前已有作者推导出一般球对称薄球壳时空中的作用量,我们将此方法运用到Reissner-Nordstrom时空,进而导出薄球壳相应的经典正则变量。在此框架下,我们用薄球壳坍缩来检验宇宙监督假设。即考虑一个外部带过量电荷的R-N时空、而内部时空包含奇点的黑洞模型,探讨薄球壳能否运动到内部时空视界以内,从而破坏视界,形成裸露奇点。这个过程若存在,将违背宇宙监督假设。若我们只考虑经典运动时,薄球壳在内部黑洞视界外会遭遇“势垒”阻挡,所以宇宙监督假设成立。可是,若将球壳唯一的变量、尺度因子R量子化之后,运用WBK近似理论计算表明,量子化的薄球壳运动有可能穿透势垒,具有破坏宇宙监督假设的可能。通过理论分析与近似讨论发现,这种可能性的大小,与内外时空质量之差或电荷之差、以及球壳自身质量有关。若内外电荷之差越大,遂穿几率越小;若内外质量之差越接近球壳自身质量,隧道几率越小。而且,若考虑质量数量级与太阳相同的黑洞,发现其隧道效应透射几率非常小,若要增大相应几率,则必须要求薄球壳上面的物质非常极端——质量很小而且承载着巨大电荷量。另外,若黑洞质量非常微小,仅仅是普朗克质量的一千倍上下,那么宇宙监督假设被违背的可能性就相对较大。
外文摘要:
In this paper, we discuss a classical model of two space-time domains divided by a spherically symmetric thin shell. Following the prescription by other authors, we investigate thin shell models in Reissner-Nordstrom space-times. In such a framework, the thin shell’s equation of motion is regarded as the Hamiltonian constraint derived from the action, and the misunderstanding result from different time coordinates of the thin shell can be avoid. We use this model to test the cosmic censorship. If an overcharged Reissner-Nordstrom space-time can implode past the horizon of a nonextremal black hole, a naked singularity will form and the cosmic censorship will be violated. It has been shown that the cosmic censorship cannot be violated for a classical thin shell due to the potential barrier outside the black hole. However, taking into account of quantum effects, the shell may tunnel through the classical barrier, and the cosmic censorship may have the opportunity to be violated. According to our discussion, the probability relies on the differences of masses and charges between the inner and outer space-times. The smaller the parameter becomes, the larger the probability is. We find that for a black hole of the order of solar mass, the chance of violating the cosmic censorship is incredibly small. However, if the mass is only about one thousand times the Planck mass, the probability of violating the cosmic censorship becomes relatively large. .
参考文献总数:

 17    

馆藏号:

 硕070201/1111    

开放日期:

 2011-06-28    

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