Probing beyond-Kerr spacetimes with inspiral-ringdown corrections to gravitational waves
Probing beyond-Kerr spacetimes with inspiral-ringdown corrections to gravitational waves
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DOI：
10.1103/physrevd.101.084050
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发表时间：
2020-03
影响因子：
5
通讯作者：
Zack Carson;Kent Yagi
中科院分区：
文献类型：
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作者：
Zack Carson;Kent Yagi
来自遥远黑洞爆炸性合并的引力波被编码为关于其源处存在的复杂的极端引力时空的细节。广义相对论中著名的克尔时空度规描述了旋转黑洞，如果存在超出这一理论的影响会怎样？有效检验这一假设的一种方法是首先以一种与模型无关的方式获得参数偏离Kerr度量的度量。给出这样的度规，人们就可以预测新时空中存在的黑洞引力波形的激发部分和环形部分的后续修正。有了这些工具，人们就可以用两种不同的方法来测试引力波信号的这种影响，(I)激励-合并-环降一致性检验，和(Ii)参数检验。在这篇文章中，我们演示了做这件事所需的确切配方。我们首先推导出对一般非克尔时空的波形、振荡器和残余量属性的参数化校正，并将其应用于两个例子超越克尔时空，每个例子都由单个非克尔参数参数化。然后，我们预测在观测到的引力波信号中所需的超克尔参数的大小在统计上与广义相对论中的克尔情况不一致。我们发现这两种方法给出的界限非常相似。现有引力波事件的限制条件与X射线观测的限制条件相当，而未来使用宇宙探测器(激光干涉仪空间天线)进行的引力波观测可以将这种限制提高两(三)个数量级。
Gravitational waves from the explosive merger of distant black holes are encoded with details regarding the complex extreme-gravity spacetime present at their source. Famously described by the Kerr spacetime metric for rotating black holes in general relativity, what if effects beyond this theory are present? One way to efficiently test this hypothesis is to first obtain a metric which parametrically deviates from the Kerr metric in a model-independent way. Given such a metric, one can then predict the ensuing corrections to both the inspiral and ringdown portions of the gravitational waveform for black holes present in the new spacetime. With these tools in hand, one can then test gravitational wave signals for such effects by two different methods, (i) inspiral-merger-ringdown consistency test, and (ii) parameterized test. In this paper, we demonstrate the exact recipe one needs to do just this. We first derive parameterized corrections to the waveform inspiral, ringdown, and remnant properties for a generic non-Kerr spacetime and apply this to two example beyond-Kerr spacetimes each parameterized by a single non-Kerr parameter. We then predict the beyond-Kerr parameter magnitudes required in an observed gravitational wave signal to be statistically inconsistent with the Kerr case in general relativity. We find that the two methods give very similar bounds. The constraints found with existing gravitational-wave events are comparable to those from x-ray observations, while future gravitational-wave observations using Cosmic Explorer (Laser Interferometer Space Antenna) can improve such bounds by two (three) orders of magnitude.