Description
Pulsar Timing Array (PTA) has observed stochastic gravitational wave background (GWB) signals. This data can be used to test different dark matter (DM) models. We consider a supermassive black hole binary (SMBHB) merger producing gravitational waves. This binary system is surrounded by a spherically symmetric DM halo. This halo follows Navarro-Frenk-White (NFW) density profile for the outer region. And closer to the centre, a spike profile is used. This DM spike model can potentially solve the final parsec problem if we have self -interacting dark matter (SIDM). In this talk, the gravitational strain spectrum of this specific spike model (with SIDM) is compared to the PTA data. We attempt to constrain this model using Bayesian inference methods. Considering the PTA data, we generate MCMC chains for different parameters of this model and find constraints on them.
