Tests of no-hair theorem with two binary black-hole coalescences

Abstract

Abstract Test of the no-hair theorem is the primary target with gravitational waves from binary black holes. In this paper, we analyze gravitational-wave data from the LIGO-Virgo-KAGRA detection of binary black-hole mergers using the ΨFD model, which is a non-general relativity full waveform template for arbitrary axisymmetric black holes. By analyzing two high signal-noise-ratio events, GW150914 and GW200129_065458, the no-hair theorem is tested at a significance level of 95%, which is the best constraint until now. More events and further analysis are needed to investigate the suspected deviation from the Kerr scenario found in the special event.