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arXiv 2005.07668gr-qc
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四个度量

Four Metrics

Michael Creutz

摘要:

广义相对论的一个中心思想是物理学不应该依赖于所使用的时空坐标\cite{einstein}。但是,从表面上看,对各种现象的定性描述可能会有很大的不同。在这里,我们考虑落入一个经典的黑洞使用四个不同的,但等效的度量。第一个是Schwarzchild案例,在视界处有极端的时间膨胀。第二,重新调整膨胀允许在有限的适当时间内落入孔中。第三,时间和空间被重新缩放为彭罗斯动机的图片,其中光轨迹都有单位斜率。第四,第二度规的白洞变体允许通过视界,禁止再进入。

英文摘要:

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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