Abstract:
We demonstrate that the rotating four-dimensional Gauss–
Bonnet black hole can act as a particle accelerator with arbitrarily
high centre-of-mass (CM) energy, when collision of two general
particles takes place near the event horizon. The particles are at
rest initially at infinity, and by fine tuning their angular momenta
within a finite range, they are released so that they follow the
time-like geodesics in the black hole spacetime, and the collision
taking place on the equatorial plane is observed. The Gauss–
Bonnet coupling constant α, provides a deviation in the results,
from that observed in the Kerr black hole. The horizon structure,
the range of allowed angular momentum and the critical angular
momentum depend on the value of α. Our results show that the
CM energy depends on the coupling parameter α in addition to
the black hole spin a. For extremal cases, the CM energy diverges
at the horizon, suggesting that Gauss–Bonnet black hole can also
act as a particle accelerator similar to a Kerr black hole. For the
non-extremal case, there exists a finite upper bound on the CM
energy, the maximal value of which depends on the parameter α
