修正引力对随机引力波背景预测不确定性的建模
Modeling Uncertainties in Modified Gravity Predictions for the Stochastic Gravitational-Wave Background
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中文总结 AI 辅助
研究修正引力对未解析双黑洞合并产生的随机引力波背景的影响，用特定模型纳入天体物理不确定性，通过对不同探测器的注入-恢复分析，表明频率相关的ppE修正可被第三代探测器约束。
中文摘要 AI 辅助
我们研究了修正引力对由宇宙中未解析双黑洞合并产生的随机引力波背景（SGWB）的影响。我们考虑了两类互补的超越广义相对论（GR）的效应：在参数化后爱因斯坦（ppE）框架内描述的波形生成修正和与修正引力波光度距离相关的宇宙学传播效应。使用对高级LIGO、爱因斯坦望远镜（ET）和宇宙探测器（CE）的SGWB预测，我们联合改变修正引力和天体物理群体参数进行注入-恢复分析。我们表明，频率相关的ppE修正会在SGWB光谱形状中产生特征性畸变，并且可以被第三代探测器，特别是CE有意义地约束。相比之下，修正传播效应主要引起平滑的幅度重新缩放，并且与天体物理不确定性表现出更强的简并性。我们的结果表明，未来的SGWB观测将为整个宇宙历史中的引力物理学提供一个互补的探测，并可能为测试与GR的偏差开辟新途径，超越单独解析的致密双星事件。
英文摘要
We investigate the impact of modified gravity on the stochastic gravitational-wave background (SGWB) generated by a cosmological population of unresolved binary black hole mergers. We consider two complementary classes of beyond-General Relativity (GR) effects: waveform-generation modifications described within the parametrized post-Einsteinian (ppE) framework and cosmological propagation effects associated with a modified gravitational-wave luminosity distance. Astrophysical uncertainties in the binary black hole population are consistently incorporated using a Power-Law plus Peak mass model combined with a Madau--Dickinson merger-rate evolution. Using SGWB forecasts for Advanced LIGO, the Einstein Telescope (ET), and Cosmic Explorer (CE), we perform injection-recovery analyses jointly varying modified-gravity and astrophysical population parameters. We show that frequency-dependent ppE corrections produce characteristic distortions in the SGWB spectral shape and can be meaningfully constrained by third-generation detectors, particularly CE. In contrast, modified propagation effects mainly induce smooth amplitude rescalings and exhibit stronger degeneracies with astrophysical uncertainties. Our results demonstrate that future SGWB observations will provide a complementary probe of gravitational physics across cosmic history and may open new avenues for testing deviations from GR beyond individually resolved compact-binary events.
发表机构
- Universidade Federal do Rio Grande do Sul（南里奥格兰德联邦大学）
- Instituto Nacional de Pesquisas Espaciais（国家空间研究所）
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