论文标题
来自多极比率的黑洞课程
Black Holes Lessons from Multipole Ratios
论文作者
论文摘要
我们详细解释了如何计算最通用的非超级四维黑洞的重力质量和角动量多物，具有四个磁性和四个电荷。我们还计算了这些多物，用于通用超对称的四维微晶格几何和多中心溶液。对于Kerr黑洞和BPS黑洞，许多这些多物都消失了。但是，如果一个人将这些黑洞嵌入弦理论中并略微变形，则可以计算出无限的消失多物比，这些比率是随着变形被带走而保持有限的，其值与变形方向无关。对于超对称黑洞，我们还可以通过采取多中心溶液的缩放限制来计算这些比率，对于某些黑洞，使用两种方法计算出的比率非常同意。对于Kerr黑洞，这些比率对可能通过未来重力波干涉仪测试的Kerr几何形状的参数化构成了强大的限制。
We explain in detail how to calculate the gravitational mass and angular momentum multipoles of the most general non-extremal four-dimensional black hole with four magnetic and four electric charges. We also calculate these multipoles for generic supersymmetric four-dimensional microstate geometries and multi-center solutions. Both for Kerr black holes and BPS black holes many of these multipoles vanish. However, if one embeds these black holes in String Theory and slightly deforms them, one can calculate an infinite set of ratios of vanishing multipoles which remain finite as the deformation is taken away, and whose values are independent of the direction of deformation. For supersymmetric black holes, we can also compute these ratios by taking the scaling limit of multi-center solutions, and for certain black holes the ratios computed using the two methods agree spectacularly. For the Kerr black hole, these ratios pose strong constraints on the parameterization of possible deviations away from the Kerr geometry that should be tested by future gravitational wave interferometers.
