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arXiv 2201.03903gr-qcastro-ph.CO
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引力波引起的天文测时信号的全天分析

All-sky analysis of astrochronometric signals induced by gravitational waves

Sebastian Golat, Carlo R. Contaldi

摘要:

我们介绍了一个统一的形式主义来描述天体物理点源上的时间和天体测量扰动的引力波使用一个复杂的自旋场的球。这允许使用自旋加权球谐函数来分析“天文测年”观测值。这种方法简化了由引力波在观测量中引起的各向异性的解释和模拟。它还允许一个简化的推导角交叉谱的观测量和它们的关系与广义Hellings-Downs关联函数。自旋加权的形式主义也允许一个明确的相关组件之间的联系和自旋的引力波极化和任何存在的手征。我们还计算了观测值的预期信噪比,以比较定时观测值和偏转观测值的效用。

英文摘要:

We introduce a unified formalism to describe both timing and astrometric perturbations induced on astrophysical point sources by gravitational waves using a complex spin field on the sphere. This allows the use of spin-weighted spherical harmonics to analyse "astrochronometric" observables. This approach simplifies the interpretation and simulation of anisotropies induced in the observables by gravitational waves. It also allows a simplified derivation of angular cross-spectra of the observables and their relationship with generalised Hellings-Downs correlation functions. The spin-weighted formalism also allows an explicit connection between correlation components and the spin of gravitational wave polarisations and any presence of chirality. We also calculate expected signal-to-noise ratios for observables to compare the utility of timing and deflection observables.

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