TY - JOUR A1 - Moesta, Philip A1 - Andersson, Lars A1 - Metzger, Jan A1 - Szilagyi, Bela A1 - Winicour, Jeffrey T1 - The merger of small and large black holes JF - Classical and quantum gravit N2 - We present simulations of binary black-hole mergers in which, after the common outer horizon has formed, the marginally outer trapped surfaces (MOTSs) corresponding to the individual black holes continue to approach and eventually penetrate each other. This has very interesting consequences according to recent results in the theory of MOTSs. Uniqueness and stability theorems imply that two MOTSs which touch with a common outer normal must be identical. This suggests a possible dramatic consequence of the collision between a small and large black hole. If the penetration were to continue to completion, then the two MOTSs would have to coalesce, by some combination of the small one growing and the big one shrinking. Here we explore the relationship between theory and numerical simulations, in which a small black hole has halfway penetrated a large one. KW - black holes KW - numerical relativity KW - trapped surfaces Y1 - 2015 U6 - https://doi.org/10.1088/0264-9381/32/23/235003 SN - 0264-9381 SN - 1361-6382 VL - 32 IS - 23 PB - IOP Publ. Ltd. CY - Bristol ER -