论文标题

当Painlevé-Gullstrand坐标失败时

When Painlevé-Gullstrand coordinates fail

论文作者

Faraoni, Valerio, Vachon, Geneviève

论文摘要

Painlevé-GullStrand坐标是球形视野热力学中非常有用的工具,在反DE保姆空间和Reissner-Nordström的内部区域中都失败了。我们预测,由于排斥重力阻止了径向自由下落中PG观察者的运动,而初始速度为零,因此在包含负Misner-sharp-Hernandez的甲状腺质量质量的任何区域中发生这种崩溃。 PG由于完全不同的原因在静态爱因斯坦宇宙中也分解。据报道,静态宇宙学(De Sitter,Anti-De保姆和静态的爱因斯坦宇宙)报告了较为通用的Martel-Poisson图表家族,通常具有PG坐标为极限。

Painlevé-Gullstrand coordinates, a very useful tool in spherical horizon thermodynamics, fail in anti-de Sitter space and in the inner region of Reissner-Nordström. We predict this breakdown to occur in any region containing negative Misner-Sharp-Hernandez quasilocal mass because of repulsive gravity stopping the motion of PG observers in radial free fall with zero initial velocity. PG coordinates break down also in the static Einstein universe for completely different reasons. The more general Martel-Poisson family of charts, which normally has PG coordinates as a limit, is reported for static cosmologies (de Sitter, anti-de Sitter and the static Einstein universe).

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