论文标题
非BPS极限的非相同黑洞之间的远程力
Long-Range Forces Between Non-Identical Black Holes With Non-BPS Extremal Limits
论文作者
论文摘要
通过对相同黑洞之间的远程力量的最新研究的激励，我们通过研究两个非相同的黑洞之间的力来扩展这些考虑因素。我们专注于阶级的理论，其中充电的黑洞可能具有非BPS的极端限制。这些理论居住在任意时空维度上，包括重力，加上$ n $ 2 $ 2的田野优势和$（N-1）$标量场。在我们考虑的解决方案中，每个场强度都带有电荷。黑洞解决方案由$ sl（n+1，r）$ toda方程组成。在四个方面，$ SL（3，r）$示例中的黑洞解决方案等同于“ Kaluza-Klein dyons”。我们发现，任何一对绝对的黑洞都不相同（总体比例）彼此排斥。我们还表明，可能存在许多遵守零强度条件的非超级非相同的黑洞。 最后，我们在更高的示例中找到了相似结果的指示，例如$ sl（4，r）$。
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 $SL(4,R)$.
