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arXiv · 1705.10477

Particle collision with an arbitrarily high center-of-mass energy near a Ba\~nados-Teitelboim-Zanelli black hole

Naoki Tsukamoto·Kota Ogasawara·Yungui Gong
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Abstract

We consider a particle collision with a high center-of-mass energy near a Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. We obtain the center-of-mass energy of two general colliding geodesic particles in the BTZ black hole spacetime. We show that the center-of-mass energy of two ingoing particles can be arbitrarily large on an event horizon if either of the two particles has a critical angular momentum and the other has a non-critical angular momentum. We also show that the motion of a particle with a subcritical angular momentum is allowed near an extremal rotating BTZ black hole and that a center-of-mass energy for a tail-on collision at a point can be arbitrarily large in a critical angular momentum limit.

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Naoki Tsukamoto, Kota Ogasawara, Yungui Gong. 2017-05-30. Particle collision with an arbitrarily high center-of-mass energy near a Ba\~nados-Teitelboim-Zanelli black hole. https://doi.org/10.1103/physrevd.96.024042

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