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arXiv 1205.3263gr-qchep-th
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引力坍缩中的壳层穿越

Shell-crossings in Gravitational Collapse

Pankaj S. Joshi, Ravindra V. Saraykar

摘要:

在广义相对论中研究大质量物质云的连续引力坍缩以考察坍缩终态时,一个重要的问题是跨壳奇点是否会随着坍缩的发展而发展。我们在这里研究这表明,对于任何球对称坍缩一般来说,总是有一个有限的邻域的中心,其中没有壳交叉发生。由此可见,为了研究坍缩的最终真正的壳聚焦奇异性,即物质云的物理半径收缩到一个零值,我们总是可以不失一般性地考虑一个具有有限共同运动半径的坍缩球,其中没有壳交叉发生。这澄清了引力坍缩研究的一个重要观点。

英文摘要:

While studying the continual gravitational collapse of a massive matter cloud in general relativity towards examining collapse final states, an important issue is that of whether shell-crossing singularities can develop as the collapse evolves. We examine this here to show that for any spherically symmetric collapse in general, there is always a finite neighborhood of the center in which there are no shell-crossings taking place. It follows that in order to study the final genuine shell-focusing singularity of collapse where the physical radius of the matter cloud shrinks to a vanishing value, we can always consider without any loss of generality a collapsing ball of a finite comoving radius in which there are no shell-crossings taking place. This clarifies an important point for gravitational collapse studies.

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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