The paper derives analytic anisotropic overlap reduction functions for all six gravitational-wave polarizations and all spherical-harmonic orders with the full pulsar term, recovering the Hellings-Downs curve in the isotropic limit.
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Full analytic expressions of overlap reduction functions for anisotropies of the stochastic gravitational-wave background with pulsar timing arrays
The paper derives analytic anisotropic overlap reduction functions for all six gravitational-wave polarizations and all spherical-harmonic orders with the full pulsar term, recovering the Hellings-Downs curve in the isotropic limit.