Observation of polarized stochastic gravitational-wave background in pulsar-timing-array experiments

Abstract

We study the observation of polarized stochastic gravitational-wave background (SGWB) in pulsar-timing-array experiments. The time residual for an observed pulsar is formulated as a line-of-sight integral that incorporates the effects of the pulsar term, from which we construct the correlation function of the time residual between a pair of pulsars in terms of the overlap reduction functions (ORFs) for the SGWB intensity and polarization anisotropies. Our formulation provides a numerical scheme for computing the ORFs for high multipole moments and the lowest-moment ORFs for the SGWB linear polarization are worked out for the first time.

13 pages, 4 figures, Submitted to PRD. arXiv admin note: text overlap with arXiv:2002.01606

References in corpus (4)

• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays
• The effect of small inter-pulsar distance variations in stochastic gravitational wave background searches with Pulsar Timing Arrays
• Chirality of the gravitational-wave background and pulsar-timing arrays