Timing-residual power spectrum of a polarized stochastic gravitational-wave background in pulsar-timing-array observation

التفاصيل البيبلوغرافية
العنوان: Timing-residual power spectrum of a polarized stochastic gravitational-wave background in pulsar-timing-array observation
المؤلفون: Liu, Guo-Chin, Ng, Kin-Wang
سنة النشر: 2022
المجموعة: Astrophysics
General Relativity and Quantum Cosmology
مصطلحات موضوعية: General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics
الوصف: We study the observation of stochastic gravitational-wave background (SGWB) made by pulsar-timing arrays in the spherical harmonic space. Instead of using the Shapiro time delay, we keep the Sachs-Wolfe line-of-sight integral for the timing residual of an observed pulsar. We derive the power spectrum of the timing residual, from which the overlap reduction functions and the bipolar spherical harmonics coefficients are constructed for the SGWB intensity and polarization anisotropies. We have reproduced the previous results, noting that we have developed a fast algorithm for computing accurate overlap reduction functions and the bipolar spherical harmonics coefficients for the linear-polarization anisotropy are worked out for the first time. Our harmonic-space method is useful for future pulsar-timing-array observation on a few thousand pulsars and provides optimal estimators for testing the statistical isotropy of the SGWB.
Comment: 10 pages. arXiv admin note: text overlap with arXiv:2107.00536
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.106.064004
URL الوصول: http://arxiv.org/abs/2201.06767
رقم الأكسشن: edsarx.2201.06767
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.106.064004