If two particles moving towards a black hole collide near the horizon, their energy in the center-of-mass frame can grow unbounded. This is the so-called Bañados-Silk-West effect. Previously, it was shown that in the $3+1$ space-time, this effect has a universal nature. We show that for a wide class of many-dimensional black holes (including, say, the Myers-Perry black hole), this is also true. The suggested analysis is general and does not require special properties of the metric like separability of variables for geodesics, etc.

• Received 16 September 2014

DOI:https://doi.org/10.1103/PhysRevD.90.107503