Kerr black holes as accelerators of spinning test particles

Abstract

It has been shown that ultraenergetic collisions can occur near the horizon of an extremal Kerr black hole. Previous studies mainly focused on geodesic motions of particles. In this paper, we consider spinning test particles whose orbits are non-geodesic. By employing the Mathisson-Papapetrou-Dixon equation, we find the critical angular momentum satisfies $J=2E$ for extremal Kerr black holes. Although the conserved angular momentum $J$ and energy $E$ have been redefined in the presence of spin, the critical condition remains the same form. If a particle with this angular momentum collides with another particle arbitrarily close to the horizon of the black hole, the center-of-mass energy can be arbitrarily high. We also prove that arbitrarily high energies cannot be obtained for spinning particles near the horizons of non-extremal Kerr black holes.

11 pages, no figure; matches version published in PRD

References in corpus (6)

• Collisional Penrose process near the horizon of extreme Kerr black holes
• Revised upper limit to energy extraction from a Kerr black hole
• Can Schwarzschild Black Holes Be Accelerators of Spinning Massive Particles?
• Ultra-high energy particle collisions in a regular spacetime without blackholes or naked singularities
• Is the super-Penrose process possible near black holes?
• Unbound geodesics from the ergosphere and potential observability of debris from ultrahigh energy particle collisions

Cited by in corpus (27)

• Charged black hole in $4D$ Einstein-Gauss-Bonnet gravity: Particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy
• Charged spinning black holes as accelerators of spinning particles
• Kerr-Sen Black Hole as Accelerator for Spinning Particles
• Schwarzschild black hole as particle accelerator of spinning particles
• Kerr-de Sitter and Kerr-anti-de Sitter black holes as accelerators for spinning particles
• Maximal Efficiency of Collisional Penrose Process with Spinning Particles
• Maximal efficiency of the collisional Penrose process with spinning particles in Kerr-Sen black hole
• Universality of BSW mechanism for spinning particles
• Spinning dilaton black hole in 2+1 dimensions as a particle accelerator
• Escape probability of particle from Kerr-Sen black hole
• Photon emissions from near-horizon extremal and near-extremal Kerr equatorial emitters
• Particle collisions near a three-dimensional warped AdS black hole
• Collision of particles near a three-dimensional rotating Hořava AdS black hole
• Collisional Penrose process with spinning particles in braneworld black hole
• Observability of Zero-angular-momentum Sources Near Kerr Black Holes
• Motion and collision of particles near DST Black holes
• Charged dilaton black hole in 2+1 dimensions as a particle accelerator
• Amplification of gravitational wave by a Kerr black hole
• Collision of spinning particles near BTZ black holes
• Collisional Penrose process of BTZ black holes
• Motion of Spinning Particles around Black Holes
• Analytic solutions for the motion of spinning particles near brane-world black hole
• The effect of the WGC condition on the maximal energy extracted from black holes
• Collisions near Kerr black holes: lower limit of energy between orbiting and incoming particles
• Collision of particles near charged MSW black hole in 2 + 1 dimensions
• Collisional Penrose process of extended test particles near an extremal Kerr black hole
• Gravitational emissions and light curves of quasi-periodic orbits in Schwarzschild spacetime embedded in a Dehnen-type dark matter halo