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Harmonic space analysis of pulsar timing array redshift maps

Elinore Roebber, Gilbert Holder, “Harmonic space analysis of pulsar timing array redshift maps,” Astrophys · 2016 · astro-ph.CO · arXiv 1609.06758

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

In this paper, we propose a new framework for treating the angular information in the pulsar timing array response to a gravitational wave background based on standard cosmic microwave background techniques. We calculate the angular power spectrum of the all-sky gravitational redshift pattern induced at the earth for both a single bright source of gravitational radiation and a statistically isotropic, unpolarized Gaussian random gravitational wave background. The angular power spectrum is the harmonic transform of the Hellings & Downs curve. We use the power spectrum to examine the expected variance in the Hellings & Downs curve in both cases. Finally, we discuss the extent to which pulsar timing arrays are sensitive to the angular power spectrum and find that the power spectrum sensitivity is dominated by the quadrupole anisotropy of the gravitational redshift map.

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astro-ph.HE 1 astro-ph.IM 1

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Stochastic problems in pulsar timing

astro-ph.HE · 2026-04-09 · unverdicted · novelty 5.0

Analytical solutions to Langevin equations for red noise and GWB in pulsars show that an Ornstein-Uhlenbeck spin frequency model is inconsistent with stationary signals, while an overdamped oscillator model and a two-component neutron star model resolve nonstationarity through damped and diffusive e

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Showing 2 of 2 citing papers after filters.

  • Stochastic problems in pulsar timing astro-ph.HE · 2026-04-09 · unverdicted · none · ref 29

    Analytical solutions to Langevin equations for red noise and GWB in pulsars show that an Ornstein-Uhlenbeck spin frequency model is inconsistent with stationary signals, while an overdamped oscillator model and a two-component neutron star model resolve nonstationarity through damped and diffusive e

  • Synergies Between Pulsar Timing Array and Astrometry astro-ph.IM · 2026-06-23 · unverdicted · none · ref 11 · internal anchor

    Joint SKA PTA and astrometry analysis improves gravitational wave background detection sensitivity by 10-50%.