Consistent analytic approach to the efficiency of collisional Penrose process

Abstract

We propose a consistent analytic approach to the efficiency of collisional Penrose process in the vicinity of a maximally rotating Kerr black hole. We focus on a collision with arbitrarily high center-of-mass energy, which occurs if either of the colliding particles has its angular momentum fine-tuned to the critical value to enter the horizon. We show that if the fine-tuned particle is ingoing on the collision, the upper limit of the efficiency is $(2+\sqrt{3})(2-\sqrt{2})\simeq 2.186$, while if the fine-tuned particle is bounced back before the collision, the upper limit is $(2+\sqrt{3}{)}^2\simeq 13.93$. Despite earlier claims, the former can be attained for inverse Compton scattering if the fine-tuned particle is massive and starts at rest at infinity, while the latter can be attained for various particle reactions, such as inverse Compton scattering and pair annihilation, if the fine-tuned particle is either massless or highly relativistic at infinity. We discuss the difference between the present and earlier analyses.

arXiv comment9 pages, minor correction, accepted for publication in Physical Review D

References in corpus (9)

• Kerr Black Holes as Particle Accelerators to Arbitrarily High Energy
• Spinning Black Holes as Particle Accelerators
• Collisional Penrose process near the horizon of extreme Kerr black holes
• Collision of an innermost stable circular orbit particle around a Kerr black hole
• Revised upper limit to energy extraction from a Kerr black hole
• Ultra-high-energy debris from the collisional Penrose process
• Upper limits of particle emission from high-energy collision and reaction near a maximally rotating Kerr black hole
• On the maximal efficiency of the collisional Penrose process
• High efficiency of collisional Penrose process requires heavy particle production

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• Center of mass energy of colliding electrically neutral particles and super-Penrose process
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• Escape probability of the super-Penrose process
• Particle collision with an arbitrarily high center-of-mass energy near a Bañados-Teitelboim-Zanelli 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
• The effect of the WGC condition on the maximal energy extracted from black holes
• Is there a trade-off relation between efficiency and power in a collisional Penrose process in an extreme Reissner-Nordström spacetime?