论文标题

Kerr Spacetime的单位版本

Unit-lapse versions of the Kerr spacetime

论文作者

Baines, Joshua, Berry, Thomas, Simpson, Alex, Visser, Matt

论文摘要

在爱因斯坦田间方程的当前已知确切解决方案中,Kerr时空可能是最重要的。每当可以将空间放置在单元形式的形式中,就有可能识别一些非常直接的时间般的地球测量学(“雨水”地球学),从而使这些空间的物理解释变得特别干净,优雅。这些单位解体配方中最著名的是Schwarzschild时空的Painleve Gullstrand形式,尽管还有一种painleve-gullstrand形式的透镜 - 刺(缓慢旋转)时空。从根本上讲,Kerr时空的两种已知单位形式 - Doran和Natario指标 - 尽管它们并不精确地以Painleve-Gullstrand形式。在此,我们将寻求阐明Kerr时空的最通用的单位失误形式。虽然在一个层面上,这只是“仅”坐标的选择,但它在战略上和战术上是坐标的一种有用的选择,因此使技术上具有挑战性但从天体物理上至关重要的Kerr Spacetime更容易处理。

The Kerr spacetime is perhaps the most astrophysically important of the currently known exact solutions to the Einstein field equations. Whenever spacetimes can be put in unit-lapse form it becomes possible to identify some very straightforward timelike geodesics, (the "rain" geodesics), making the physical interpretation of these spacetimes particularly clean and elegant. The most well-known of these unit-lapse formulations is the Painleve-Gullstrand form of the Schwarzschild spacetime, though there is also a Painleve-Gullstrand form of the Lense-Thirring (slow rotation) spacetime. More radically there are also two known unit-lapse forms of the Kerr spacetime -- the Doran and Natario metrics -- though these are not precisely in Painleve-Gullstrand form. Herein we shall seek to explicate the most general unit-lapse form of the Kerr spacetime. While at one level this is "merely" a choice of coordinates, it is a strategically and tactically useful choice of coordinates, thereby making the technically challenging but astrophysically crucial Kerr spacetime somewhat easier to deal with.

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