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arXiv 0806.2380astro-phgr-qc
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两个尘埃壳层向黑洞坍缩的精确动力学解

The exact dynamical solution for two dust shells collapsing towards a black hole

Shuang Nan Zhang, Yuan Liu

摘要:

恒星的引力坍缩是广义相对论和天体物理学的重要问题,它与著名的“冰冻星”佯谬有关。在Oppenheimer和Schneider(1939)的开创性工作之后,我们给出了两个尘埃壳层向一个预先存在的黑洞坍缩的精确解。我们发现壳层的内部区域受到壳层性质的影响,这与牛顿理论的结果相反,并且壳层内部的时钟随着壳层向预先存在的黑洞坍缩而变慢.如果有一束光穿过壳,这个结果原则上可以用实验来检验。我们的结论是,“冻结星”的概念应该被抛弃,因为物质确实可以根据外部观察者的时钟穿过黑洞的视界。由于物质不会在黑洞的事件视界周围积累,我们预测在两个合并的黑洞合并过程的最后阶段只能产生引力波辐射。我们的结果还表明,对于外部观察者的时钟,物质在穿过事件视界后,永远不会到达“奇点”(即黑洞的确切中心)。

英文摘要:

The gravitational collapse of a star is an important issue both for general relativity and astrophysics, which is related to the well known "frozen star" paradox. Following the seminal work of Oppenheimer and Schneider (1939), we present the exact solution for two dust shells collapsing towards a pre-existing black hole. We find that the inner region of the shell is influenced by the property of the shell, which is contrary to the result in Newtonian theory and and the clock inside the shell becomes slower as the shell collapses towards the pre-existing black hole. This result in principle may be tested experimentally if a beam of light travels across the shell. We conclude that the concept of the "frozen star" should be abandoned, since matter can indeed cross a black hole's horizon according to the clock of an external observer. Since matter will not accumulate around the event horizon of a black hole, we predict that only gravitational wave radiation can be produced in the final stage of the merging process of two coalescing black holes. Our results also indicate that for the clock of an external observer, matter, after crossing the event horizon, will never arrive at the "singularity" (i.e. the exact center of the black hole.

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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