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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >A monopole near a black hole
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A monopole near a black hole

机译：黑洞附近的单极子

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摘要

A striking property of an electric charge near a magnetic pole is that the system possesses angular momentum even when both the electric and the magnetic charges are at rest. The angular momentum is proportional to the product of the charges and independent of their distance. We analyze the effect of bringing gravitation into this remarkable system. To this end, we study an electric charge held at rest outside a magnetically charged black hole. We find that even if the electric charge is treated as a perturbation on a spherically symmetric magnetic Reissner-Nordstrom hole, the geometry at large distances is that of a magnetic Kerr-Newman black hole. When the charge approaches the horizon and crosses it, the exterior geometry becomes that of a Kerr-Newman hole, with electric and magnetic charges and with total angular momentum given by the standard value for a charged monopole pair. Thus, in accordance with the "no-hair theorem," once the charge is captured by the black hole, the angular momentum associated with the charge monopole system loses all traces of its exotic origin and is perceived from the outside as common rotation. It is argued that a similar analysis performed on Taub-NUT space should give the same result.
机译：磁极附近的电荷的显着特性是，即使电荷和静电荷都处于静止状态，系统也具有角动量。角动量与电荷的乘积成比例，并且与电荷的距离无关。我们分析了将引力引入这个引人注目的系统的效果。为此，我们研究了在静电荷的黑洞外保持静止的电荷。我们发现，即使将电荷视为球对称的Reissner-Nordstrom磁性孔上的扰动，其大距离处的几何形状仍是Kerr-Newman磁性黑洞的几何形状。当电荷接近地平线并穿过地平线时，其外部几何形状变为Kerr-Newman孔的形状，具有电荷和磁电荷，并且总角动量由带电单极对的标准值给出。因此，根据“无毛定理”，一旦电荷被黑洞捕获，与电荷单极系统相关的角动量就失去了其外来起源的所有痕迹，并从外部被视为共同旋转。有人认为，在Taub-NUT空间上进行的类似分析应得出相同的结果。

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