论文标题
由重力波诱导的星体运动信号的全天空分析
All-sky analysis of astrochronometric signals induced by gravitational waves
论文作者
论文摘要
我们介绍了一种统一的形式主义，以描述通过在球体上使用复杂的自旋场引起的重力波在天体物理点源引起的时序和天文扰动。这允许使用自旋加权的球形谐波分析“星体运动学”可观察力。这种方法简化了引力波在观察物中诱导的各向异性的解释和模拟。它还允许简化观测值的角度跨光谱及其与广泛的Hellings降低相关函数的关系。自旋加权形式主义还允许相关组件与引力波极化的自旋和手性的任何存在之间的明确联系。我们还计算了可观察到的预期信噪比，以比较定时和偏转可观察的效用。
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.
