由Kinnersley-Chitre解得到的两个极端黑洞的稳态位形
Stationary configurations of two extreme black holes obtainable from the Kinnersley-Chitre solution
摘要：
本文研究了由两个极端Kerr源组成的静止轴对称系统，它们被一个无质量的支柱隔开，这是著名的Kinnersley-Chitre解的子族。我们提出了明确的分析公式的各个组成部分的质量和角动量，并建立了参数的范围，这样的系统可以被视为描述黑洞。分析了黑洞位形中的质量角动量关系和相互作用力。此外，我们构造了Kinnersley-Chitre度规的荷电推广，并作为所得到的一般公式的应用，讨论了两个描述一对同向和反向旋转的极端Kerr-Newman黑洞被圆锥奇点分开的特殊情形.从我们的分析中可以特别得出结论，单个Kerr-Newman极端黑洞的质量、单位质量角动量和电荷之间的关系式$m^2-a^2-e^2=0$不再能被二元结构中类似的极端黑洞成分所证实。
英文摘要：
Stationary axisymmetric systems of two extreme Kerr sources separated by a massless strut, which arise as subfamilies of the well-known Kinnersley-Chitre solution, are studied. We present explicit analytical formulas for the individual masses and angular momenta of the constituents and establish the range of the parameters for which such systems can be regarded as describing black holes. The mass-angular momentum relations and the interaction force in the black-hole configurations are also analyzed. Furthermore, we construct a charging generalization of the Kinnersley-Chitre metric and, as applications of the general formulas obtained, discuss two special cases describing a pair of identical co- and counterrotating extreme Kerr-Newman black holes kept apart by a conical singularity. From our analysis it follows in particular that the equality $m^2-a^2-e^2=0$ relating the mass, angular momentum per unit mass and electric charge of a single Kerr-Newman extreme black hole is no longer verified by the analogous extreme black-hole constituents in binary configurations.
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