@article{MoestaAnderssonMetzgeretal.2015, author = {Moesta, Philip and Andersson, Lars and Metzger, Jan and Szilagyi, Bela and Winicour, Jeffrey}, title = {The merger of small and large black holes}, series = {Classical and quantum gravit}, volume = {32}, journal = {Classical and quantum gravit}, number = {23}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {0264-9381}, doi = {10.1088/0264-9381/32/23/235003}, pages = {20}, year = {2015}, abstract = {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.}, language = {en} } @article{AnderssonMetzger2010, author = {Andersson, Lars and Metzger, Jan}, title = {Curvature estimates for stable marginally trapped surfaces}, issn = {0022-040X}, year = {2010}, abstract = {We derive local integral and sup-estimates for the curvature of stable marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situations of physical interest, such as dynamical horizons.}, language = {en} }