无水平致密天体的赝谱：一种自举不稳定性机制
Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
摘要：
最近对黑洞时空中赝谱的研究表明，拟正规模频率具有谱不稳定性。这种现象可能会严重影响引力波谱学，并限制广义相对论的精确测试。我们扩展的伪谱分析，具有任意接近史瓦西半径的反射表面的horizonless异国情调的紧凑对象，并发现他们的准正规模式也遭受从整体光谱不稳定性。即使所有的模式本身单调衰减，周围的基本模式和最低的泛音等共振幅度的伪谱轮廓可以跨越实轴到不稳定的复平面，揭示了非模态伪共振的存在。一个伪谱分析进一步预测，波动系统可能会不稳定的对象时，旁边的领导阶效应被认为是伪共振增长的触发可以打破黑洞微扰理论的阶膨胀。
英文摘要：
Recent investigations of the pseudospectrum in black hole spacetimes have shown that quasinormal mode frequencies suffer from spectral instabilities. This phenomenon may severely affect gravitational-wave spectroscopy and limit precision tests of general relativity. We extend the pseudospectrum analysis to horizonless exotic compact objects which possess a reflective surface arbitrarily close to the Schwarzschild radius, and find that their quasinormal modes also suffer from an overall spectral instability. Even though all the modes themselves decay monotonically, the pseudospectrum contours of equal resonance magnitude around the fundamental mode and the lowest overtones can cross the real axis into the unstable regime of the complex plane, unveiling the existence of nonmodal pseudo-resonances. A pseudospectrum analysis further predicts that fluctuations to the system may destabilize the object when next to leading-order effects are considered, as the triggering of pseudo-resonant growth can break the order-expansion of black-hole perturbation theory.
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