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Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation

机译:球对称黑洞形成中的动态表面引力

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摘要

We study dynamical surface gravity in a general spherically symmetric settingusing Painlev\'{e}-Gullstrand (PG) coordinates. Our analysis includes severaldefinitions that have been proposed in the past as well as two new definitionsadapted to PG coordinates. Various properties are considered, including generalcovariance, value at extremality, locality and static limit. We illustrate withspecific examples of "dirty" black holes that even for spacetimes possessing aglobal timelike Killing vector, local definitions of surface gravity can differsubstantially from "non-local" ones that require an asymptotic normalizationcondition. Finally, we present numerical calculations of dynamical surfacegravity for black hole formation via spherically symmetric scalar fieldcollapse. Our results highlight the differences between the various definitionsin a dynamical setting and provide further insight into the distinction betweenlocal and non-local definitions of surface gravity.
机译:我们使用Painlev \'{e} -Gullstrand(PG)坐标研究一般球形对称设置中的动态表面重力。我们的分析包括过去已提出的几个定义以及适用于PG坐标的两个新定义。考虑各种属性,包括一般协方差,极值,局部性和静态极限。我们以“肮脏”黑洞的特定示例为例,即使对于具有像全局时间这样的Killing向量的时空,表面重力的局部定义也可能与需要渐近归一化条件的“非局部”表面明显不同。最后,我们提出了通过球对称标量场塌陷形成黑洞的动态表面重力的数值计算。我们的结果突出了动力学设置中各种定义之间的差异,并提供了对表面重力的局部和非局部定义之间区别的进一步了解。

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