Pulsar-timing arrays, astrometry, and gravitational waves
Pulsar-timing arrays, astrometry, and gravitational waves
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DOI：
10.1103/physrevd.99.063002
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发表时间：
2018-10
影响因子：
5
通讯作者：
Wenzer Qin;K. Boddy;M. Kamionkowski;L. Dai
中科院分区：
文献类型：
--
作者：
Wenzer Qin;K. Boddy;M. Kamionkowski;L. Dai
我们讨论的脉冲星定时和天体测量探测的随机引力波背景的理论与最近开发的“总角动量”（TAM）的宇宙学摄动形式主义。我们审查的形式主义，特别强调这项工作的相关功能，并描述我们考虑的观测量（即脉冲星红移和恒星角位移）。使用TAM方法，我们计算的角度功率谱的观测量，并从他们获得角度的自相关函数和互相关函数。我们提供了完整的功率谱和相关函数，不仅为标准的横向无痕传播自由度在广义相对论，而且为四个额外的非爱因斯坦极化，可能会出现在替代引力理论。我们讨论如何脉冲星定时和天体测量调查可以相互补充和交叉检查，并评论测试手征的引力波背景作为一种工具，以了解其来源的性质的重要性。一个简单的重新推导的功率谱从平面波形式主义提供了一个附录。
We discuss the theory of pulsar-timing and astrometry probes of a stochastic gravitational-wave background with a recently developed "total-angular-momentum" (TAM) formalism for cosmological perturbations. We review the formalism, emphasizing in particular the features relevant for this work and describe the observables we consider (i.e. the pulsar redshift and stellar angular displacement). Using the TAM approach, we calculate the angular power spectra for the observables and from them derive angular auto- and cross-correlation functions. We provide the full set of power spectra and correlation functions not only for the standard transverse-traceless propagating degrees of freedom in general relativity, but also for the four additional non-Einsteinian polarizations that may arise in alternative-gravity theories. We discuss how pulsar-timing and astrometry surveys can complement and serve as cross checks to one another and comment on the importance of testing the chirality of the gravitational-wave background as a tool to understand the nature of its sources. A simple rederivation of the power spectra from the plane-wave formalism is provided in an Appendix.