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arXiv 1007.3360gr-qcastro-ph.HEhep-th
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旋转圆盘和圆环的黑洞极限

On the black hole limit of rotating discs and rings

Andreas Kleinwächter, Hendrick Labranche, Reinhard Meinel

摘要:

爱因斯坦场方程的解描述了处于平衡状态的旋转流体,允许参数(即准静态)过渡到极端克尔解(视界外)。这已被证明是解析的尘埃盘和数值环的解决方案与各种状态方程。从外部的观点来看,这种转变可以解释为一个(准)黑洞极限。所有的引力多极矩都精确地假定了极限中的极端克尔黑洞的值。在本文中,在接近黑洞极限的方式进行了更详细的研究,通过参数泰勒级数展开的精确解描述了一个刚性旋转盘的灰尘。结合环解的数值计算,我们的结果表明了多极矩在黑洞极限附近的一个有趣的普遍行为。

英文摘要:

Solutions to Einstein's field equations describing rotating fluid bodies in equilibrium permit parametric (i.e. quasi-stationary) transitions to the extreme Kerr solution (outside the horizon). This has been shown analytically for discs of dust and numerically for ring solutions with various equations of state. From the exterior point of view, this transition can be interpreted as a (quasi) black hole limit. All gravitational multipole moments assume precisely the values of an extremal Kerr black hole in the limit. In the present paper, the way in which the black hole limit is approached is investigated in more detail by means of a parametric Taylor series expansion of the exact solution describing a rigidly rotating disc of dust. Combined with numerical calculations for ring solutions our results indicate an interesting universal behaviour of the multipole moments near the black hole limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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