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In this work, we uncover new features in the evolution of the deformations ofthe dynamical horizon geometry in a binary black hole merger scenario usingnumerical relativity. First, in the inspiral phase, owing to the deformations,the dynamical horizons of the two black holes are found to steadily acquiremultipole moments that vanish when the horizons are isolated. Out of these, thedominant moment is found to be the quadrupole moment. Second, we show that theyencode detailed information about the dynamics of the binary black hole system.The dominant quadrupole multipole moment is particularly shown to be stronglycorrelated with the gravitational field of the system at future null infinity.Therefore, the gravitational waves carried away from the system containinformation about the geometrical structure of the black holes in thestrong-field regime. Third, we also find that, in the post-merger phase, themultipolar structure of the outer common dynamical horizon of the system isstrongly correlated with that of the individual horizons just before themerger. The outer common horizon then settles down to equilibrium as suggestedby the decay of the multipole moments gained by the system through the inspiralphase.

Generalized source multipole moments of dynamical horizons in binary black hole mergers