论文标题
黑孔响声作为更高源自重力理论的探针
Black-hole ringdown as a probe of higher-curvature gravity theories
论文作者
论文摘要
从合并的紧凑型二进制文件中检测引力波使我们能够探索一般相对论的动态,非线性状态,并限制对其的修改。 Ligo-Virgo协作观察到的一些引力波事件在合并中具有足够高的信噪比,使我们能够探究残留黑洞的放松到其最终的固定状态 - 所谓的黑孔环,由一组准模式表征。正如其几个竞争者所预测的那样,我们可以使用响声来限制与一般相对性的偏差?在这里,我们通过在有效的一体形式主义中使用Inspiral-Merger-Ringdown波形模型来解决这个问题,并根据最终黑洞的旋转中的扩展进行了响声的参数化。我们给出了如何在此波形模型中包含的处方,即以理论为基础计算的准模式频率。特别是,我们专注于通过高阶曲率校正来修改一般相对性的理论,即爱因斯坦 - 迪拉塔顿 - 高斯 - 鲍尼特(EDGB),动态的Chern-Simons(DCS)理论,以及立方体和四分之一和四分之一的有效效率理论(EFT)。我们使用此参数化波形模型来测量到目前为止观察到的两个最响亮的响声信号的环down属性,即GW150914和GW200129。我们发现,尽管EDGB理论不能限制这些事件,但我们可以将上限放在立方的基本长度上($ \ ell _ {\ rm Ceft} \ leqslant 38.2 $ km)和Quartic-order($ \ ell _ {\ rm qeft} DCS重力($ \ ell _ {\ rm dcs} \ leqslant 38.7 $ km)。后一个结果是目前仅由灵感的分析所限制的理论的具体示例,但是,与当前重力波数据的合并研究研究可以约束。
Detecting gravitational waves from coalescing compact binaries allows us to explore the dynamical, nonlinear regime of general relativity and constrain modifications to it. Some of the gravitational-wave events observed by the LIGO-Virgo Collaboration have sufficiently high signal-to-noise ratio in the merger, allowing us to probe the relaxation of the remnant black hole to its final, stationary state - the so-called black-hole ringdown, which is characterized by a set of quasinormal modes. Can we use the ringdown to constrain deviations from general relativity, as predicted by several of its contenders? Here, we address this question by using an inspiral-merger-ringdown waveform model in the effective-one-body formalism, augmented with a parametrization of the ringdown based on an expansion in the final black hole's spin. We give a prescription on how to include in this waveform model, the quasinormal mode frequencies calculated on a theory-by-theory basis. In particular, we focus on theories that modify general relativity by higher-order curvature corrections, namely, Einstein-dilaton-Gauss-Bonnet (EdGB), dynamical Chern-Simons (dCS) theories, and cubic- and quartic-order effective-field-theories (EFT) of general relativity. We use this parametrized waveform model to measure the ringdown properties of the two loudest ringdown signals observed so far, GW150914 and GW200129. We find that while EdGB theory cannot be constrained with these events, we can place upper bounds on the fundamental lengthscale of cubic- ($\ell_{\rm cEFT} \leqslant 38.2$ km) and quartic-order ($\ell_{\rm qEFT} \leqslant 51.3$ km) EFTs of general relativity, and of dCS gravity ($\ell_{\rm dCS} \leqslant 38.7$ km). The latter result is a concrete example of a theory presently unconstrained by inspiral-only analyses which, however, can be constrained by merger-ringdown studies with current gravitational-wave data.