General limitations on trajectories suitable for super-Penrose process

Abstract

Collisions of particles near a rotating black hole can lead to unbound energies $E_{c.m.}$ in their centre of mass frame. There are indications that the Killing energy of debris at infinity can also be unbound for some scenarios of collisions near the extremal black hole horizon (so-called super-Penrose process). They include participation of a particle that (i) has generic (not fine-tuned) parameters and (ii) moves away from a black hole before collision. We show that for any finite particle's mass, such a particle cannot be obtained as a result of the preceding collision. However, this can be done if one of initial infalling particles has the mass of the order $N^{-2}$ that generalizes previous observations made in literature for radial infall in the Kerr background.

10 pages. Presentation made more accurate. To appear in EPL

References in corpus (5)

• 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
• Are black holes totally black?
• Unbounded energies of debris from head-on particle collisions near black holes

Cited by in corpus (10)

• Is the super-Penrose process possible near black holes?
• Center of mass energy of colliding electrically neutral particles and super-Penrose process
• Maximum efficiency of the collisional Penrose process
• Extraction of energy from an extremal rotating electrovacuum black hole: Particle collisions along the axis of symmetry
• Kinematic restrictions on particle collisions near extremal black holes: A unified picture
• Extraction of energy from an extremal rotating electrovacuum black hole: Particle collisions in the equatorial plane
• Escape probability of particle from Kerr-Sen black hole
• High energy head-on particle collisions near event horizons: classifcation of scenarios
• Is there a trade-off relation between efficiency and power in a collisional Penrose process in an extreme Reissner-Nordström spacetime?
• Rapidly rotating spacetimes and collisional super-Penrose process