Answers to frequently asked questions about the pulsar timing array Hellings and Downs curve

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Authors

  • J. D. Romano
  • B. Allen

Research Organisations

External Research Organisations

  • University of Texas Rio Grande Valley
  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
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Details

Original languageEnglish
Article number175008
Number of pages33
JournalClassical and quantum gravity
Volume41
Issue number17
Publication statusPublished - 30 Jul 2024

Abstract

We answer frequently asked questions (FAQs) about the Hellings and Downs correlation curve—the ‘smoking-gun’ signature that pulsar timing arrays (PTAs) have detected gravitational waves (GWs). Many of these questions arise from inadvertently applying intuition about the effects of GWs on LIGO-like detectors to the case of pulsar timing, where not all of it applies. This is because Earth-based detectors, like LIGO and Virgo, have arms that are short (km scale) compared to the wavelengths of the GWs that they detect ( ≈ 10 2 -104 km). In contrast, PTAs respond to GWs whose wavelengths (tens of light-years) are much shorter than their arms (a typical PTA pulsar is hundreds to thousands of light-years from Earth). To demonstrate this, we calculate the time delay induced by a passing GW along an Earth-pulsar baseline (a ‘one-arm, one-way’ detector) and compare it in the ‘short-arm’ (LIGO-like) and ‘long-arm’ (PTA) limits. This provides qualitative and quantitative answers to many questions about the Hellings and Downs curve. The resulting FAQ sheet should help in understanding the ‘evidence for GWs’ recently announced by several PTA collaborations.

Keywords

    gravitational waves, Hellings and Downs correlation, pulsar timing

ASJC Scopus subject areas

Cite this

Answers to frequently asked questions about the pulsar timing array Hellings and Downs curve. / Romano, J. D.; Allen, B.
In: Classical and quantum gravity, Vol. 41, No. 17, 175008, 30.07.2024.

Research output: Contribution to journalArticleResearchpeer review

Romano JD, Allen B. Answers to frequently asked questions about the pulsar timing array Hellings and Downs curve. Classical and quantum gravity. 2024 Jul 30;41(17):175008. doi: 10.48550/arXiv.2308.05847, 10.1088/1361-6382/ad4c4c
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