Abstract

We demonstrate that in binary black hole (BBH) mergers there is a direct correlation between the frequency of the gravitational wave at peak amplitude and the quasi-normal mode frequency and damping time of the final black hole. Since the ringing frequency and damping time of a black hole are related to its mass and spin, the correlation discovered also provides a connection between the parameters of the final black hole and the frequency of the gravitational wave at peak amplitude. This correlation could potentially assist with the analysis of gravitational wave observations from BBH mergers.

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