从测试质量极限到高导数引力中的双黑洞波形
From the Test-Mass Limit to Binary Black-Hole Waveforms in Higher-Derivative Gravity
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中文总结 AI 辅助
本文提出一种从修正Teukolsky形式出发的方法，将测试质量极限信息嵌入有效单体模型，为高导数引力（如宇称偶立方引力）中的可比质量双星构建旋进-并合-铃宕波形，并揭示潮汐响应与高曲率修正同阶的重要性。
中文摘要 AI 辅助
许多高导数理论预言，对于质量较低的黑洞，与广义相对论的偏差更强，而其非线性场方程往往阻碍了对完整双星演化的可靠模拟。在此，我们发展了一条从基于修正的Teukolsky形式的受控黑洞微扰理论到可比质量波形的路径，以宇称偶立方引力作为代表性示例。我们发现，次级黑洞的潮汐响应与直接的高曲率修正出现在相同的微扰阶，因此对于一致的首阶波形至关重要。由此产生的强场通量和守恒动力学导致累积的旋进失相，该失相在并合时增大。将这一测试质量信息嵌入有效单体模型，我们构建了可比质量双星的旋进-并合-铃宕波形，并发现了依赖于耦合常数的失相和波形峰值偏移。我们的结果证明了当特定理论的数值相对论模拟不可用时，强场测试质量计算如何为高导数引力的波形模型提供锚定。
英文摘要
Many higher-derivative theories predict stronger deviations from General Relativity for lower-mass black holes, while their nonlinear field equations often prevent reliable simulations of the full binary evolution. Here we develop a route from controlled black hole perturbation theory based on the modified Teukolsky formalism to comparable-mass waveforms, using parity-even cubic gravity as a representative example. We find that the tidal response of the secondary black hole enters at the same perturbative order as the direct higher-curvature correction and is therefore essential for a consistent leading-order waveform. The resulting strong-field fluxes and conservative dynamics produce an accumulated inspiral dephasing that grows toward merger. Embedding this test-mass information into an effective-one-body model, we construct inspiral-merger-ringdown waveforms for comparable-mass binaries and find coupling-dependent dephasing and waveform-peak shifts. Our results demonstrate how strong-field test-mass calculations can anchor waveform models for higher-derivative gravity when theory-specific numerical-relativity simulations are unavailable.
发表机构
- Tsinghua University（清华大学）
- University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
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