HARMONIC SPACE ANALYSIS of PULSAR TIMING ARRAY REDSHIFT MAPS

Elinore Roebber, Gilbert Holder

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we propose a new framework for treating the angular information in the pulsar timing array (PTA) response to a gravitational wave (GW) 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 GW 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 PTAs 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.

Original languageEnglish (US)
Article number21
JournalAstrophysical Journal
Volume835
Issue number1
DOIs
StatePublished - Jan 20 2017

Keywords

  • gravitational waves
  • large-scale structure of universe
  • methods: analytical
  • pulsars: general

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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