1301.1159 (Anton Galajinsky)

Near horizon geometry of extremal black holes and Banados-Silk-West
effect    [PDF]

Anton Galajinsky

Recently, Banados, Silk and West analyzed a collision of two particles near the horizon of the extremal Kerr black hole and demonstrated that the energy in the center-of-mass frame can be arbitrarily large for some critical values of the angular momenta of the colliding particles. As is known, the vicinity of the extremal Kerr black hole horizon can be viewed as a complete vacuum spacetime in its own right. In this work we consider a collision of two neutral particles within the context of the near horizon geometry and demonstrate that the energy in the center-of-mass frame is finite for any value of the particle parameters.

View original: http://arxiv.org/abs/1301.1159