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

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arxiv 2107.00536 v1 pith:TDQNKR7X submitted 2021-07-01 gr-qc

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

Yu-Kuang Chu , Guo-Chin Liu , Kin-Wang Ng This is my paper
classification gr-qc
keywords orfssgwbtimebackgroundexperimentsgravitational-waveobservationpolarization
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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.

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