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The nature of the post-merger remnant of the first binary neutron starcoalescence observed by the Advanced Laser Interferometer Gravitational WaveObservatory (Advanced LIGO) and Advanced Virgo, GW170817, is unknown. Searcheshave been carried out for short ($\lesssim 1$ s), intermediate ($\lesssim 500$s), and long ($\sim$ days) signals using various algorithms without yielding adetection. We describe an efficient frequency tracking scheme based on a hiddenMarkov model to search for long-duration transient signals from a neutron starremnant with spin-down time-scale in the range $\sim 10^2$s-$10^4$s. It was oneof the methods used in the search for signals from a long-lived remnant ofGW170817. We validate the method and estimate its sensitivity throughMonte-Carlo simulations on the same data set as used in the GW170817 search. Wedescribe the search configuration, procedure, and follow-up step by step. Themethodology of the hidden Markov model is described fully to ensure that futureanalyses of this kind can be reproduced by an independent party.

physical review. d/physical review. d.

Application of hidden Markov model tracking to the search for  long-duration transient gravitational waves from the remnant of the binary  neutron star merger GW170817