A two-stage likelihood reweighting method recovers the parameters and Bayes factor of an added sinusoid signal in simulated pulsar timing data, matching full Bayesian analyses while claiming about a tenfold speedup.
Constraints on the velocity of gravitational waves from NANOGrav 15-year data set
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abstract
General relativity predicts that gravitational waves propagate at the speed of light. Although ground-based gravitational-wave detectors have successfully constrained the velocity of gravitational waves in the high-frequency range, extending this constraint to the lower frequency range remains a challenge. In this work, we utilize the deviations in the overlap reduction function for a gravitational-wave background within pulsar timing arrays to investigate the velocity of gravitational waves in the nanohertz frequency band. By analyzing the NANOGrav 15-year data set, we obtain a well-constrained lower bound for the velocity of gravitational waves that $v \gtrsim 0.87\,c$, where $c$ is the speed of light.
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Searching beyond the fiducial stochastic gravitational wave background in pulsar timing array data using likelihood reweighting
A two-stage likelihood reweighting method recovers the parameters and Bayes factor of an added sinusoid signal in simulated pulsar timing data, matching full Bayesian analyses while claiming about a tenfold speedup.