Pulsar Timing Response to Gravitational Waves with Spherical Wavefronts from a Massive Compact Source in the Quadrupole Approximation

Autor:	Kubo, Ryousuke, Yamahira, Kakeru, Asada, Hideki
Rok vydání:	2022
Předmět:	Astrophysics - High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Theory
Zdroj:	Astrophys. J. 946, 76 (2023)
Druh dokumentu:	Working Paper
DOI:	10.3847/1538-4357/acc027
Popis:	Pulsar timing arrays (PTAs) are searching for nanohertz-frequency gravitational waves (GWs) through cross-correlation of pulse arrival times from a set of radio pulsars. PTAs have relied upon a frequency-shift formula of the pulse, where planar GWs are usually assumed. Phase corrections due to the wavefront curvature have been recently discussed. In this paper, frequency-shift and timing-residual formulae are derived for GWs with fully spherical wavefronts from a compact source such as a binary of supermassive black holes, where the differences in the GW amplitude and direction between the Earth and the pulsar are examined in the quadrupole approximation. By using the new formulae, effects beyond the plane-wave approximation are discussed, and a galactic-center PTA as well as nearby GW source candidates are also mentioned. Comment: 7 pages, 2 figures, title improved, text expanded to discuss also pulsar timing residuals and galactic-center PTA, accepted for ApJ
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.03349 Zobrazit plný text záznamu View this record from Arxiv