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2025 年 12 月 16 日 星期二 · 数据截至 arXiv / ADS 最新收录日
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优先级 10 · 引力波电磁对应体 · 多信使触发与联合

From the solar system to cosmological distances: a complete formalism for gravitational wave astrometry

Perna, Gabriele, Bellomo, Nicola, Roatti, Vincenzo, et al.

原文摘要Abstract

The presence of a gravitational wave background (GWB) can be established not only via exquisitely precise pulsar timing array (PTA) measurements, but also via astrometric observations. Indeed, the very same background responsible for the delay in the arrival time of pulse causes an apparent displacement of galactic objects as stars and asteroids. In this work we provide a framework that allows to derive the displacement of sources overcoming the usually adopted "infinite distance" approximation. We also present how this formalism can be used to study the displacements of objects at distances comparable to the GW wavelength, as asteroids, and of objects with a non-trivial three-dimensional distribution, as stars in the Milky Way. Thus, it can be used to probe frequencies beyond PTA experiments, reaching the mHz GWs, also detectable by LISA. We forecast the capability of observing the astrometric deflection induced by a GWB evaluating the harmonic signal-to-noise ratio including correlations between different probes. We find an SNR greater than one for the relevant cases considered and as a consequence a promising Fisher forecast, suggesting a constraining power up to the percent level for a flat background.

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从太阳系到宇宙学距离:引力波天体测量的完整形式体系 · 本文提出一个超越无限距离近似的完整框架,用于计算引力波背景对天体(如小行星和银河系恒星)的视位置位移,并预测其可探测性,能探测到LISA频段的毫赫兹引力波,信噪比大于1,约束能力可达百分之一水平。

预印本 2025-12-16 · 接收 2026-06-08 · 刊出 2026-07-27 · 收录 2026-08-20