热面条:粘性引力坍缩
Hot Spaghetti: Viscous Gravitational Collapse
摘要:
我们探讨的命运的物质落入一个宏观史瓦西黑洞的径向塌陷薄球壳的几何反作用可以忽略不计的简化情况下。我们对待的粘性相对论流体动力学的框架内的下落物质的内部动力学和计算如何塌缩物质的内部温度的演变,因为它落向史瓦西奇点。我们发现,粘性流体动力学失败时,耗散的径向压力超过热压力和总的径向压力成为负的,或作用在塌缩物质上的潮汐力的变化的时间尺度变得短于特征流体动力学响应时间。
英文摘要:
We explore the fate of matter falling into a macroscopic Schwarzschild black hole for the simplified case of a radially collapsing thin spherical shell for which the back reaction of the geometry can be neglected. We treat the internal dynamics of the infalling matter in the framework of viscous relativistic hydrodynamics and calculate how the internal temperature of the collapsing matter evolves as it falls toward the Schwarzschild singularity. We find that viscous hydrodynamics fails when either, the dissipative radial pressure exceeds the thermal pressure and the total radial pressure becomes negative, or the time scale of variation of the tidal forces acting on the collapsing matter becomes shorter than the characteristic hydrodynamic response time.
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