Hemisphere-averaged Hellings-Downs curve between pulsar pairs for a gravitational wave source
arXiv:2311.02939 · doi:10.1103/PhysRevD.109.024023
Abstract
The Hellings-Downs (HD) curve plays a crucial role in search for nano-hertz gravitational waves (GWs) with pulsar timing arrays. We discuss the angular pattern of correlations for pulsar pairs within a celestial hemisphere. The hemisphere-averaged correlation curve depends upon the sky location of a GW compact source like a binary of supermassive black holes. If a single source is dominant, the variation in the hemisphere-averaged angular correlation is greatest when the hemisphere has its North Pole at the sky location of the GW source. Possible GW amplitude and source distance relevant to the current PTAs by using the hemisphere-averaged correlation are also studied.
arXiv comment6 pages, 6 figures, GW amplitude and source distance added, figures 3 and 4 updated, accepted for PRD
References in corpus (7)
- The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
- Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
- Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
- The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
- Detection methods for stochastic gravitational-wave backgrounds: a unified treatment
- Optimal strategies for gravitational wave stochastic background searches in pulsar timing data
- Pulsar Timing Array Analysis for Black Hole Backgrounds