Escape probability of the super-Penrose process

Abstract

We consider a head-on collision of two massive particles that move in the equatorial plane of an extremal Kerr black hole, which results in the production of two massless particles. Focusing on a typical case, where both of the colliding particles have zero angular momenta, we show that a massless particle produced in such a collision can escape to infinity with arbitrarily large energy in the near-horizon limit of the collision point. Furthermore, if we assume that the emission of the produced massless particles is isotropic in the center-of-mass frame but confined to the equatorial plane, the escape probability of the produced massless particle approaches $5/12$ and almost all escaping massless particles have arbitrarily large energy at infinity and an impact parameter approaching $2GM/c^2$, where $M$ is the mass of the black hole.

5pages, 2figures

References in corpus (4)

• Collisional Penrose process near the horizon of extreme Kerr black holes
• Revised upper limit to energy extraction from a Kerr black hole
• Ultra-high-energy debris from the collisional Penrose process
• Consistent analytic approach to the efficiency of collisional Penrose process

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• Particle collision with an arbitrarily high center-of-mass energy near a Bañados-Teitelboim-Zanelli black hole
• Complete classification of photon escape in the Kerr black hole spacetime
• Exploring black holes as particle accelerators: hoop-radius, target particles and escaping conditions
• Emissions of photons near the horizons of Kerr-Sen black holes
• Escape probability of particle from Kerr-Sen black hole
• Effect of the self-gravity of shells on a high energy collision in a rotating Bañados-Teitelboim-Zanelli spacetime
• Collision of spinning particles near BTZ black holes
• Collisional Penrose process of BTZ black holes
• Is there a trade-off relation between efficiency and power in a collisional Penrose process in an extreme Reissner-Nordström spacetime?