Long-range forces between nonidentical black holes with non-BPS extremal limits
Long-range forces between nonidentical black holes with non-BPS extremal limits
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DOI：
10.1103/physrevd.106.086007
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发表时间：
2022-07
影响因子：
5
通讯作者：
S. Cremonini;M. Cvetič;C. Pope;A. Saha
中科院分区：
文献类型：
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作者：
S. Cremonini;M. Cvetič;C. Pope;A. Saha
受最近研究的长程力之间的相同的黑洞，我们扩展这些考虑通过调查两个不同的黑洞之间的力量。我们专注于带电黑洞可以有极值极限，而不是BPS的理论类。这些理论，生活在任意时空维度，包括重力耦合到$N $2形式的场强和$（N-1）$标量场。在我们考虑的解中，每个场强都携带一个电荷。黑洞解由SL（N+1，R）户田方程控制.在四维空间中，SL（3，R）例子中的黑洞解等价于卡鲁扎-克莱因双子。“我们发现，任何一对不相同的极端黑洞（在整体尺度上）都相互排斥。我们还表明，可以存在对非极值，不同的黑洞，服从零力条件。最后，我们发现类似的结果在更高的例子，如$SL（4，R）$的迹象。
Motivated by recent studies of long-range forces beween identical black holes, we extend these considerations by investigating the forces between two non-identical black holes. We focus on classes of theories where charged black holes can have extremal limits that are not BPS. These theories, which live in arbitrary spacetime dimension, comprise gravity coupled to $N$ 2-form field strengths and $(N-1)$ scalar fields. In the solutions we consider, each field strength carries an electric charge. The black hole solutions are governed by the $SL(N+1,R)$ Toda equations. In four dimensions the black-hole solutions in the $SL(3,R)$ example are equivalent to the"Kaluza-Klein dyons."We find that any pair of such extremal black holes that are not identical (up to overall scaling) repel one another. We also show that there can exist pairs of non-extremal, non-identical black holes which obey a zero-force condition. Finally, we find indications of similar results in the higher examples, such as $SL(4,R)$.