论文标题
伪谱和二进制黑洞合并瞬变
Pseudospectrum and binary black hole merger transients
论文作者
论文摘要
二进制黑洞结合的合并阶段是初始振荡方案（Inspiral）和呈指数型潮湿阶段（RINGDOWN）之间的瞬态。尽管爱因斯坦方程的非线性特征，但合并动力学表现出与有效线性一致的令人惊讶的简单行为。另一方面，通过事件范围和散射到无穷大的能量损失使系统不保守。因此，（有效）线性动力学的无限发电机是非偏爱的运算符。瞬态在由非频道的动力学中的瞬变（通常是非正常）操作员驱动的线性动力学特征是由时间生成器的伪谱捕获的。我们将伪谱作为一个统一的框架，将二进制黑洞合并的阶段汇合在一起，从Inspiral-Merger的过渡到后期的准模式响铃。
The merger phase of binary black hole coalescences is a transient between an initial oscillating regime (inspiral) and a late exponentially damped phase (ringdown). In spite of the non-linear character of Einstein equations, the merger dynamics presents a surprisingly simple behaviour consistent with effective linearity. On the other hand, energy loss through the event horizon and by scattering to infinity renders the system non-conservative. Hence, the infinitesimal generator of the (effective) linear dynamics is a non-selfadjoint operator. Qualitative features of transients in linear dynamics driven by non-selfadjoint (in general, non-normal) operators are captured by the pseudospectrum of the time generator. We propose the pseudospectrum as a unifying framework to thread together the phases of binary black hole coalescences, from the inspiral-merger transition up to the late quasinormal mode ringdown.
