Detecting Gravitational Waves with Pulsar Timing Arrays

I am an associate member of the North American Nanohertz Observatory for Gravitational Waves (NANOGrav). NANOGrav is one of several pulsar timing arrays (PTAs) across the globe that use correlations in the time delays of precisely timed pulsar signals to detect the squeezing and stretching of spacetime due to gravitational waves (GWs). In the 15-year data set, NANOGrav found strong evidence for the stochastic gravitational wave background (GWB) (NG15 GWB paper ).

Simulating GWs with holodeck

holodeck is a python package that synthesizes semi-analytic populations of SMBHBs, evolves them in time and separation to the PTA-regime of frequencies, and simulates the GWs they produce, developed by Luke Z. Kelley, with contributions from myself and other members of the NANOGrav Astrophysics Working Group. Using holodeck, we demonstrated that the GWB measured in the 15-year NG data can be reproduced by a population of SMBHBs (NG15 SMBHB paper).

Continuous Waves from Single Sources

I developed a holodeck feature to extract N loudest single sources from the background, at each frequency. Below is a visualization of the 10 loudest single sources at each frequency of a single holodeck realization (by Peter Orndoff using gw-sky) and an example characteristic strain spectra showing the loudest 10 frequencies as scatter points, the single loudest with black edges, and the background as a line, in different colors for five random realizations. The black line represents the median GWB across 500 realizations, and in dashed grey is the fiducial -2/3 power law that has long been the assumed shape for a SMBHB GWB. In reality, there is a drop off from a -2/3 slope at high frequencies due to discretization: when we Poisson sample from the analytic prediction, converting from partial binaries to 0 or ~few at high frequencies, where SMBHBs dwindle. By modeling individual sources, we can make predictions for continuous wave (CW) detections and GWB anisotropy.


Anisotropy

NG members placed upper limits on the level of anisotropy in the 15-year GWB data, which we compare to predictions I made using holodeck generated populations, placed randomly on a healPIX map (NG15 anisotropy paper).






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