Ultra-high energy particle collisions in a regular spacetime without blackholes or naked singularities

Abstract

We investigate here the particle acceleration and collisions with extremely large center of mass energies in a perfectly regular spacetime containing neither singularity nor an event horizon. The ultra-high energy collisions of particles near the event horizon of extremal Kerr blackhole, and also in many other examples of extremal blackholes have been investigated and reported recently. We studied an analogous particle acceleration process in the Kerr and Reissner-Nordstrom spacetimes without horizon, containing naked singularities. Further to this, we show here that the particle acceleration and collision process is in fact independent of blackholes and naked singularities, and can happen in a fully regular spacetime containing neither of these. We derive the conditions on the general static spherically symmetric metric for such a phenomena to happen. We show that in order to have ultra-high energy collisions it is necessary for the norm of the timelike Killing vector to admit a maximum with a vanishingly small but a negative value. This is also a condition implying the presence of a surface with extremely large but nevertheless finite value of the redshift or blueshift. Conditions to have ultrahigh energy collisions and regular center imply the violation of strong energy condition near the center while the weak energy condition is respected in the region around the center. Thus the central region is surrounded by a dark energy fluid. Both the energy conditions are respected at the location where the high energy collisions take place. As a concrete example we then investigate the acceleration process in the spacetime geometry derived by Bardeen which is sourced by a non-liner self-gravitating magnetic monopole.

10 pages, 1 figure, Revised version accepted for publication in Phys. Rev. D

References in corpus (10)

• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• 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
• Black hole mimickers: regular versus singular behavior
• 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

Cited by in corpus (10)

• Quasinormal modes of test fields around regular black holes
• Particle acceleration around rotating Einstein-Born-Infeld black hole and plasma effect on gravitational lensing
• Black holes as particle accelerators: a brief review
• High energy collision of two particles in wormhole spacetimes
• Collisional Penrose Process in Rotating Wormhole Spacetime
• Enhanced Line Signals from Annihilating Kaluza-Klein Dark Matter
• Energy extraction from Janis-Newman-Winicour naked singularity
• Charged Dilation Black Holes as Particle Accelerators
• Unbounded energies of debris from head-on particle collisions near black holes
• Ultrahigh energy particle collisions near the black hole horizon in the strong magnetic field