Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity
Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity
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DOI：
10.1103/physrevd.105.124003
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发表时间：
2021-03
影响因子：
5
通讯作者：
Pratik Wagle;N. Yunes;Hector O. Silva
中科院分区：
文献类型：
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作者：
Pratik Wagle;N. Yunes;Hector O. Silva
LIGO/Virgo合作对致密双星合并产生的引力波的探测，第一次使我们能够在其强大的、动态的和非线性的区域测试相对论引力，从而开辟了一个新的竞技场，以对抗广义相对论（及其修正）对观测的影响。我们考虑一个理论，它通过引入一个耦合到宇称违反曲率项的标量场来修改广义相对论，称为动力学陈-西蒙斯引力。在这个理论中，自旋黑洞与广义相对论黑洞不同，因此可以作为这个理论的探针。本文研究了自旋超前阶的动态Chern-Simons引力中黑洞的线性引力标量扰动，得到了描述扰动引力场和标量场演化的扰动场方程，用直接积分法数值求解这些方程，计算了主多极子和高阶多极子的拟正规模频率，并将它们制成表格，（iii）找到强有力的证据证明这些旋转黑洞是线性稳定的;（iv）根据自旋和Chern-Simons耦合参数给出引力和标量准正规模频率的不同多极子的一般拟合函数。我们的研究结果可以用来验证在动态陈-西蒙斯引力中黑洞双星的数值相对论模拟的小自旋残余物的振铃，并为将来用引力波振铃观测来检验这一理论铺平道路。
The detection of gravitational waves from compact binary mergers by the LIGO/Virgo collaboration has, for the first time, allowed us to test relativistic gravity in its strong, dynamical and nonlinear regime, thus opening a new arena to confront general relativity (and modifications thereof) against observations. We consider a theory which modifies general relativity by introducing a scalar field coupled to a parity-violating curvature term known as dynamical Chern-Simons gravity. In this theory, spinning black holes are different from their general relativistic counterparts and can thus serve as probes to this theory. We study linear gravito-scalar perturbations of black holes in dynamical Chern-Simons gravity at leading-order in spin and (i) obtain the perturbed field equations describing the evolution of the perturbed gravitational and scalar fields, (ii) numerically solve these equations by direct integration to calculate the quasinormal mode frequencies for the dominant and higher multipoles and tabulate them, (iii) find strong evidence that these rotating black holes are linearly stable, and (iv) present general fitting functions for different multipoles for gravitational and scalar quasinormal mode frequencies in terms of spin and Chern-Simons coupling parameter. Our results can be used to validate the ringdown of small-spin remnants of numerical relativity simulations of black hole binaries in dynamical Chern-Simons gravity and pave the way towards future tests of this theory with gravitational wave ringdown observations.