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arXiv 1601.02720gr-qc
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自引力辐射的分类

Classifying self-gravitating radiations

Hyeong-Chan Kim

摘要:

本文通过数值计算和解析计算研究了一个封闭在球体中的自引力辐射静态系统。由于辐射的标度对称性,解的大多数主要性质可以表示为二维标度不变变量平面上解曲线的一段。我们从与视视界的类比中定义一个“近似视界”(AH).任何解曲线都包含一个唯一的点,它对应于AH。一个给定的解决方案是唯一标记的三个参数表示的解决方案曲线,AH的大小,和球的大小,这是一个替代的数据在外部边界。各种几何性质,包括AH的存在和围绕中心的行为可以从参数识别。此外,我们提出了一个解析解的辐射的边缘形成一个黑洞。给出了裸奇点中心质量的解析公式。

英文摘要:

We study a static system of self-gravitating radiations confined in a sphere by using numerical and analytical calculations. Due to the scaling symmetry of radiations, most of main properties of a solution can be represented as a segment of a solution curve on a plane of two-dimensional scale invariant variables. We define an `approximate horizon' (AH) from the analogy with an apparent horizon. Any solution curve contains a unique point which corresponds to the AH. A given solution is uniquely labelled by three parameters representing the solution curve, the size of the AH, and the sphere size, which are an alternative of the data at the outer boundary. Various geometrical properties including the existence of an AH and the behaviors around the center can be identified from the parameters. We additionally present an analytic solution of the radiations on the verge of forming a blackhole. Analytic formulae for the central mass of the naked singularity are given.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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