论文标题

四个指标

Four Metrics

论文作者

Creutz, Michael

论文摘要

总体相对论中的一个核心思想是,物理不应取决于使用的时空坐标\ cite {einstein}。但是,对各种现象的定性描述在表面上可能完全不同。在这里,我们考虑使用四个不同但同等的指标落入一个经典的黑洞中。首先是施瓦兹柴尔德案例,地平线上有极端的时间扩张。其次,重新缩放扩张允许在有限的适当时间内掉入孔中。第三,将时间和空间重新缩放成彭罗斯动机的图片,光线轨迹都具有单位斜率。第四,第二衡量标准的白洞变化允许禁止重新进入地平线。

A central idea in general relativity is that physics should not depend on the space-time coordinates in use \cite{einstein}. But the qualitative description of various phenomena can appear superficially quite different. Here we consider falling into a classical black hole using four distinct but equivalent metrics. First is the Schwarzchild case, with extreme time dilation at the horizon. Second, rescaling the dilation allows falling into the hole in finite proper time. Third, time and space are rescaled into a Penrose motivated picture where light trajectories all have unit slope. Fourth, a white hole variation of the second metric allows passage out through the horizon, with reentry forbidden.

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