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We resolve the fate of the two original apparent horizons during the head-onmerger of two non-spinning black holes. We show that following the appearanceof the outer common horizon and subsequent inter-penetration of the originalhorizons, they continue to exist for a finite period of time before they areindividually annihilated by unstable MOTSs. The inner common horizon vanishesin a similar, though independent, way. This completes the understanding of theanalogue of the event horizon's "pair of pants" diagram for the apparenthorizon. Our result is facilitated by a new method for locating marginallyouter trapped surfaces (MOTSs) based on a generalized shooting method. We alsodiscuss the role played by the MOTS stability operator in discerning whichamong a multitude of MOTSs should be considered as black hole boundaries.

What Happens to Apparent Horizons in a Binary Black Hole Merger?