Acceleration of particles by nonrotating charged black holes?

Abstract

Recently, in the series of works a new effect of acceleration of particles by black holes was found. Under certain conditions, the energy in the centre of mass frame can become infinitely large. The essential ingredient of such effect is the rotation of a black hole. In the present Letter, we argue that the similar effect exists for a nonrotating but charged black hole even for the simplest case of radial motion of particles in the Reissner-Nordström background. All main features of the effect under discussion due to rotating black holes have their counterpart for the nonrotating charged ones. PACS numbers: 04.70.Bw, 97.60.Lf, 04.40.Nr I. INTRODUCTIONRecently, it was made an interesting observation that black holes can accelerate particles up to unlimited energies E cm in the centre of mass frame [1]. This stimulated further works in which details of this process were investigated [2] -[6] and, in particular was found that the effect is present not only for extremal black holes but also for nonextremal ones [2]. These results have been obtained for the Kerr metric (they were also extended to the extremal Kerr-Newman one [3] and the stringy black hole [4]). In the work [7] generalization of these observations was performed and it was demonstrated that the effect in question exists in a generic black hole background (so a black hole can be surrounded by matter) provided a black hole is rotating. Thus, rotation seemed to be an essential part of the effect. It is also necessary that one of colliding particles have the angular momentumwhere E is the energy, ω H is the angular velocity of a generic rotating black hole. If ω H → 0, L 1 → ∞, * Electronic address: zaslav@ukr.net

Acceleration of colliding shells around a black hole: Validity of the test particle approximation in the Banados-Silk-West process

“…We call this mechanism the BSW mechanism or the BSW process, and several aspects of this mechanism have been reported in Refs. [2][3][4][5][6][7][8][9][10][11][12][13]. If this mechanism was really workable, it might be possible to probe Planck-scale physics by observing the neighborhood of an extreme or almost extreme Kerr black hole.…”

Rapidly rotating spacetimes and collisional super-Penrose process

“…(As is already known, there exists a counterpart to the high energy collisions that arises due to an electric charge [11] instead of rotation but we do not discuss this issue here. We also do not consider the influence of the electromagnetic field on the energy extraction that can, in principle, increase efficiency of the Penrose process [12]).…”

Center of mass energy of the collision for two general geodesic particles around a Kerr-Newman-Taub-NUT black hole

“…The collision for test charged particles in the vicinity of the event horizon of a weakly magnetized static black hole with gravitomagnetic charge studied in [27]. In [28], the author argued that the BSW effect exists for a nonrotating but charged black hole even for the simplest case of radial motion of particles in a Reissner-Nordström black hole. In [29], the author gave simple and general explanation to the effect of unbound acceleration of particles for Reissner-Nordström and Kerr black holes.…”