Looking for the parents of LIGO’s black holes
Looking for the parents of LIGO’s black holes
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DOI：
10.1103/physrevd.104.084002
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发表时间：
2021-05
影响因子：
5
通讯作者：
V. Baibhav;E. Berti;D. Gerosa;M. Mould;Ka-wah Wong
中科院分区：
文献类型：
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作者：
V. Baibhav;E. Berti;D. Gerosa;M. Mould;Ka-wah Wong
在广义相对论中，两体问题的解决方案允许我们预测黑洞合并残余物的质量，自旋和反冲速度，给出其二元祖先的质量和自旋。在本文中，我们解决的逆问题：给定一个二进制黑洞合并，我们可以使用引力波干涉仪测量的参数来告诉如果二进制组件的层次起源，即如果他们自己是以前的合并残余？如果是这样的话，我们至少可以确定他们父母的一些属性吗？这个反问题通常是超定的。我们发现，分层合并占据了一个特征区域的平面组成的有效自旋参数χeff和χp，因此，这些参数的测量可以增加权重的分层合并解释的一些引力波事件，包括GW 190521。如果其中一个二进制组件有层次的起源和它的自旋大小是很好的测量，我们推导出排除区域的父母的属性：例如，我们推断的父母GW190412（如果层次）必须有不平等的质量和低自旋。我们的形式主义是相当普遍的，它可以用来推断的天体物理环境产生层次合并的约束。
Solutions to the two-body problem in general relativity allow us to predict the mass, spin and recoil velocity of a black-hole merger remnant given the masses and spins of its binary progenitors. In this paper we address the inverse problem: given a binary black-hole merger, can we use the parameters measured by gravitational-wave interferometers to tell if the binary components are of hierarchical origin, i.e. if they are themselves remnants of previous mergers? If so, can we determine at least some of the properties of their parents? This inverse problem is in general overdetermined. We show that hierarchical mergers occupy a characteristic region in the plane composed of the effective spin parameters χeff and χp, and therefore a measurement of these parameters can add weight to the hierarchical-merger interpretation of some gravitational-wave events, including GW190521. If one of the binary components has hierarchical origin and its spin magnitude is well measured, we derive exclusion regions on the properties of its parents: for example we infer that the parents of GW190412 (if hierarchical) must have had unequal masses and low spins. Our formalism is quite general, and it can be used to infer constraints on the astrophysical environment producing hierarchical mergers.