Ultra-high energy collision with neither black hole nor naked singularity

Abstract

We explore the collision between two concentric spherical thin shells. The inner shell is charged, whereas the outer one is either neutral or charged. In the situation we consider, the charge of the inner shell is larger than its gravitational mass, and the inside of it is empty and regular. Hence the domain just outside it is described by the overcharged Reissner-Nordstrom geometry whereas the inside of it is Minkowski. First, the inner shell starts to shrink form infinity with finite kinetic energy, and then the outer shell starts to shrink from infinity with vanishing kinetic energy. The inner shell bounces on the potential wall and collides with the ingoing outer shell. The energy of collision between these shells at "their center of mass frame" does not exceed the total energy of the system. By contrast, by virtue of the very large gamma factor of the relative velocity of the shells, the energy of collision between two of the constituent particles of these shells at their center of mass frame can be much larger than the Planck scale. This result suggests that the black hole or naked singularity is not necessary for ultra-high energy collision of particles.

27 pages, 1 figure. Equation (B36) in the 1st version of the manuscript is incorrect, and thus we have corrected it. The result becomes different from the original one, but the conclusion that the ultra-high energy collision of particles is possible is unchanged

References in corpus (10)

• Charged Spinning Black Holes as Particle Accelerators
• Acceleration of particles by nonrotating charged black holes
• Emergent Flux from Particle Collisions Near a Kerr Black Hole
• Particle Acceleration on the Background of the Kerr-Taub-NUT Spacetime
• Collision of two general geodesic particles around a Kerr black hole
• Acceleration of particles by black holes -- general explanation
• Acceleration of colliding shells around a black hole: Validity of the test particle approximation in the Banados-Silk-West process
• Particle Collisions on Stringy Black Hole Background
• Upper limits of particle emission from high-energy collision and reaction near a maximally rotating Kerr black hole
• Acceleration of particles by quasiblack holes

Cited by in corpus (14)

• Black holes as particle accelerators: a brief review
• Destroying a near-extremal Kerr black hole with a charged particle: Can a test magnetic field serve as a cosmic censor?
• High energy collision of two particles in wormhole spacetimes
• High Energy Collision of Particles in the Vicinity of Extremal Black Holes in Higher Dimensions: Banados-Silk-West Process as Linear Instability of Extremal Black Holes
• Energy extraction from Janis-Newman-Winicour naked singularity
• Particle collision with an arbitrarily high center-of-mass energy near a Bañados-Teitelboim-Zanelli black hole
• New Electrically Charged Black Hole in Higher Derivative Gravity
• Ultra-high-energy head-on collisions without horizons or naked singulrities: general approach
• Particle acceleration by Majumdar-Papapetrou di-hole
• Effect of the self-gravity of shells on a high energy collision in a rotating Bañados-Teitelboim-Zanelli spacetime
• The inequality between size and charge in spherical symmetry
• Timescale for trans-Planckian collisions in Kerr spacetime
• Dynamical Transition from a Naked Singularity to a Black Hole
• BSW process of the slowly evaporating charged black hole