论文标题
用黑洞响声测量与Kerr几何形状的偏差
Measuring deviations from the Kerr geometry with black hole ringdown
论文作者
论文摘要
一般相对论中的黑洞仅以两个“头发”为特征，这是Kerr Spacetime的质量和旋转。但是，扩展一般相对论的理论原则上允许额外的黑洞电荷，这通常会修改Kerr溶液的多极结构。在这里，我们表明，来自黑洞二进制的合并后环路信号的重力波观察可能允许测量这些额外的“头发”。我们这样做是通过考虑在四极力矩水平上与Kerr One不同的时空几何形状，并计算其准模式频率与KERR的差异的差异。然后，我们对当前和未来的重力波数据进行贝叶斯分析，并计算四极偏离Kerr的后部约束。我们发现，包括未来探测器可以观察到的较高模式的包含将允许以百分比的限制与Kerr四极杆的偏差。
Black holes in General Relativity are famously characterized by two "hairs" only, the mass and the spin of the Kerr spacetime. Theories extending General Relativity, however, allow in principle for additional black hole charges, which will generally modify the multipole structure of the Kerr solution. Here, we show that gravitational wave observations of the post-merger ringdown signal from black hole binaries may permit measuring these additional "hairs". We do so by considering spacetime geometries differing from the Kerr one at the level of the quadrupole moment, and computing the differences of their quasinormal mode frequencies from the Kerr ones in the eikonal limit. We then perform a Bayesian analysis with current and future gravitational wave data and compute posterior constraints for the quadrupole deviation away from Kerr. We find that the inclusion of higher modes, which are potentially observable by future detectors, will allow for constraining deviations from the Kerr quadrupole at percent level.
