论文标题
快速生成完全相对论的极端质量 - 刺激性波形模板，用于LISA数据分析
Rapid generation of fully relativistic extreme-mass-ratio-inspiral waveform templates for LISA data analysis
论文作者
论文摘要
丽莎未来的太空任务将在Millihertz频率上观察到大量的重力波源。其中，紧凑型物体的极端质量比率灵感是将强场复杂性与长期信号相结合的唯一来源。在数据分析过程中将它们与大量准确的波形模板进行比较，从而发现了这些信号，但是通过计算完全相对论波形中的$ \ sim10^3 $ -10^5 $谐波模式来阻碍此类模板的快速生成。我们使用订单减少和深度学习技术来得出这些模式的全局拟合，并在使用硬件加速的完整波形框架中实现它。我们的高保真波形可以在$ 1 \，\ mathrm {s} $以下生成，并实现$ \ lyseSim 5 \ times 10^{ - 4} $的不匹配，而参考波形则需要$ \ gtrsim 10^4 $ $ $ $ $。这标志着第一次可以在LISA分析算法中直接实现的时间尺度上产生具有完整谐波内容的分析长度波形。
The future space mission LISA will observe a wealth of gravitational-wave sources at millihertz frequencies. Of these, the extreme-mass-ratio inspirals of compact objects into massive black holes are the only sources that combine the challenges of strong-field complexity with that of long-lived signals. Such signals are found and characterized by comparing them against a large number of accurate waveform templates during data analysis, but the rapid generation of such templates is hindered by computing the $\sim10^3$-$10^5$ harmonic modes in a fully relativistic waveform. We use order-reduction and deep-learning techniques to derive a global fit for these modes, and implement it in a complete waveform framework with hardware acceleration. Our high-fidelity waveforms can be generated in under $1\,\mathrm{s}$, and achieve a mismatch of $\lesssim 5\times 10^{-4}$ against reference waveforms that take $\gtrsim 10^4$ times longer. This marks the first time that analysis-length waveforms with full harmonic content can be produced on timescales useful for direct implementation in LISA analysis algorithms.
