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The ringdown phase of a binary black hole merger is modelled by thequasi-normal modes of a perturbed Kerr black hole within general relativity.According to the black hole no-hair theorem, the emitted ringdown spectra areconstrained by the mass and spin of the remnant black hole and thus offer anexcellent test of the Kerr-nature of black holes. We employ theJohannsen-Psaltis metric ansatz as a parameterization of beyond-Kerr effectsand analyze the ringdown of two binary black hole merger events- GW150914 andGW190521 to constrain the deviation from Kerr. Due to the largersignal-to-noise ratio and the presence of the additional subdominant mode inthe ringdown phase, we find a factor of ~2 improvement in constraints on thedeviation parameter in the case of GW190521 as compared to GW150914. Moreover,we find that the deviation parameter is anti-correlated to the spin of theremnant black hole. We also explore the effect of priors for other physicalparameters on the Kerr deviation.

Constraining parametric deviation from Kerr using black hole ringdown of GW150914 and GW190521