Particle acceleration of two general particles in the background of rotating Ayón-Beato-García black holes

Abstract

The rotating Ayón-Beato-García (ABG) black holes, apart from mass (M ) and rotation parameter (a), has an additional charge Q and encompassed the Kerr black hole as particular case when Q = 0. We demonstrate the ergoregions of rotating ABG black holes depend on both rotation parameter a and charge Q, and the area of the ergoregions increases with increase in the values of Q, when compared with the Kerr black hole and the extremal regular black hole changes with the value of Q. Banãdos, Silk and West (BSW) demonstrated that an extremal Kerr black hole can act as a particle accelerator with arbitrarily high center-of-mass energy (E CM ) when the collision takes place at any point in the ergoregion and thus in turn provides a suitable framework for Plank-scale physics. We study the collision of two general particles with different masses falling freely from rest in the equatorial plane of a rotating ABG black hole near the event horizon and find that the E CM of two colliding particles is arbitrarily high when one of the particles take a critical value of angular momentum in the extremal case, whereas for nonextremal case E CM for a pair of colliding particles is generically divergent at the inner horizon, and explicitly studying the effect of charge Q on the E CM for ABG black hole. In particular, our results in the limit Q → 0 reduce exactly to vis-à-vis those of the Kerr black hole.

Ergosphere and shadow of a rotating regular black hole

“…where r 0 is the distance from the black hole to the observer and θ 0 represents the inclination angle between the direction to observer and the rotation axis of the black hole. By using ( 28), ( 29), ( 30), (31), and (32), the celestial coordinates (35) transform into Equation (36) represents a direct relationship between the celestial coordinates (α, β) and the impact parameters (ξ, η). Every single photon that approaches the observer determines a point on the (α, β)-plane of the image, which can be visible with the help of telescope.…”

“…The authors in Refs. [27][28][29][30][31] demonstrated that the regular black holes can be considered as the particle accelerator. The quasinormal modes of test fields around the regular black holes has been discussed explicitly in [32].…”