论文标题
在广告中建造以多为中心的黑洞
Towards the construction of multi-centered black holes in AdS
论文作者
论文摘要
我们发现一类近似扰动解决方案描述了渐近广告中的多中心BPS黑洞$ _4 $。这些黑洞正在在具有共同半径但固定相差的圆形轨道上移动共浮力,其中半径的特征是公共增强速度$ v $。尽管解决方案还不完整,但由于它们仅准确至$ \ MATHCAL {O}(M^2v^2)$,因此我们能够在四维$ \ Mathcal {n} = 2 $ superpravity中本地研究其超对称性。结果表明,虽然一个BPS黑洞保留了一半的超对称性,但两个或多个黑洞的配置仅为1/4 bps。这些扰动溶液在Majumdar和Papapetou的多黑孔溶液中渐近地降低了Minkowski的限制。
We find a class of approximate perturbative solutions describing multi-centered BPS black holes in asymptotically AdS$_4$. These black holes are moving coplanarly in a circular orbit with common radius but fixed phase differences, where the radius is characterized by a common boost velocity $v$. While the solutions are not complete, as they are only accurate up to $\mathcal{O}(M^2v^2)$, we are able to locally investigate their supersymmetric properties in four-dimensional $\mathcal{N} = 2$ supergravity. The result indicates that, while a single BPS black hole preserves half of the supersymmetries, a configuration with two or more black holes is only 1/4 BPS. These perturbative solutions reduce in the asymptotically Minkowski limit to the multi-black hole solution of Majumdar and Papapetrou.