Kavli Affiliate: Wayne Hu
| First 5 Authors: Wayne Hu, Qiuyue Liang, Meng-Xiang Lin, Mark Trodden,
| Summary:
We consider the effects of relaxing the assumption that gravitational waves
composing the stochastic gravitational wave background (SGWB) are uncorrelated
between frequencies in analyses of the data from Pulsar Timing Arrays (PTAs).
While individual monochromatic plane waves are often a good approximation, a
background composed of unresolved astrophysical sources cannot be exactly
uncorrelated since an infinite plane wave propagates no temporal signal. We
consider how relaxing this assumption allows us to extract potential
information about modified dispersion relations and other fundamental physics
questions, as both the group and phase velocity of waves become relevant. After
developing the formalism we carry out simple Gaussian wavepacket examples and
then consider more realistic waveforms, such as that from binary inspirals.
When the frequency evolves only slowly across the PTA temporal baseline, the
monochromatic assumption at an effective mean frequency remains a good
approximation and we provide scaling relations that characterize its accuracy.
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