Overlap reduction functions for pulsar timing arrays and astrometry

2024/05/31 by Keisuke Inomata, Marc Kamionkowski, Inomata, Keisuke +5 · 2 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Pulsars and Gravitational Waves Research #Radio Astronomy Observations and Technology

paper · pdf · doi:10.48550/arxiv.2406.00096

openalex publication_date 2024/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an efficient technique for calculating the angular two-point correlation functions (or ``overlap reduction functions'') induced by gravitational waves in both the pulse arrival times of pulsars and in the angular deflections of distant sources. In the most general case, there are six auto- and cross-correlations for the pulse arrival times and the two components of the angular deflection. We provide results for spin-2 (i.e., general-relativistic) gravitational waves as well as the spin-1 modes that may arise in alternative-gravity theories. These calculations can be easily implemented for future analysis or study, and we provide code to do so.

Cited by

• Adding electromagnetic birefringence to pulsar timing and astrometry to detect gravitational waves
• New test of modified gravity with gravitational wave experiments

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