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arXiv 0708.4196gr-qc
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被物质包围的简并黑洞的电荷与转动速率之间的普遍约束

A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter

Marcus Ansorg, Herbert Pfister

摘要:

我们考虑静止的,轴向和赤道对称的系统组成的一个中心旋转和收费的退化黑洞和周围的物质。我们表明,$a^2+Q^2=M^2$始终保持提供一个连续的序列的时空可以识别,导致从克尔纽曼解决方案在电真空的解决方案的问题。量$a=J/M$是黑洞每单位质量的固有角动量,$Q$是它的电荷,而$M$是由Christodoulou和Ruffini引入的众所周知的黑洞质量参数。

英文摘要:

We consider stationary, axially and equatorially symmetric systems consisting of a central rotating and charged degenerate black hole and surrounding matter. We show that $a^2+Q^2=M^2$ always holds provided that a continuous sequence of spacetimes can be identified, leading from the Kerr-Newman solution in electrovacuum to the solution in question. The quantity $a=J/M$ is the black hole's intrinsic angular momentum per unit mass, $Q$ its electric charge and $M$ the well known black hole mass parameter introduced by Christodoulou and Ruffini.

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