论文标题

重力磁偶极子

The gravimagnetic dipole

论文作者

Clément, Gérard

论文摘要

我们研究了真空爱因斯坦方程的先前构造的固定溶液,该方程代表了两个非极性黑洞的系统,具有相等的质量和相反的螺母电荷,并通过带有张力的MISNER串连接。对于较大的分离,根据质量和坚果电荷的相对值,通过这种张力测量的反平方法是有吸引力或排斥的。对于较小的分离,力总是排斥的,因此系统不能倒入一个黑洞。对于黑洞质量和螺母电荷的给定值,有独特的配置,因此Misner String是无力的。这是渐近地作为Kerr解决方案的表现,但可以超过弹性,同时又没有环形奇异性,从而避免了通常的黑洞唯一定理。所有双黑洞和弦构型都符合黑洞机械师的一般第一定律,在该法律上,两个黑洞和Misner弦都在相等的基础上进行处理。

We investigate a previously constructed stationary solution of the vacuum Einstein equations, which represents a system of two non-extreme black holes with equal masses and opposite NUT charges, connected by a Misner string with tension. For large separations, the inverse square law force measured by this tension is attractive or repulsive, according to the relative values of the masses and NUT charges. For small separations, the force is always repulsive, so that the system cannot collapse to a single black hole. For given values of the black hole masses and NUT charges, there is a unique configuration such that the Misner string is tensionless. This behaves asymptotically as the Kerr solution, but can be overspinning while remaining free from a ring singularity, thus evading the usual black hole uniqueness theorems. All double black hole and string configurations satisfy a generalized first law of black hole mechanics where the two black holes and the Misner string are treated on an equal footing.

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