Particle acceleration of two general particles in the background of rotating Ay\'{o}n-Beato-Garc\'{i}a black holes

TL;DR

This paper investigates particle collisions near rotating Ayón-Beato-García black holes, revealing conditions for arbitrarily high energy collisions and analyzing how charge and rotation influence ergoregions and collision outcomes.

Contribution

It extends the BSW particle acceleration mechanism to rotating ABG black holes, including effects of charge and extremality, and compares results with Kerr black holes.

Findings

Ergoregion area increases with charge Q.

High-energy collisions occur at the horizon with critical angular momentum.

Results reduce to Kerr black hole case when Q approaches zero.

Abstract

The rotating Ay\'{o}n-Beato-Garc\'{i}a (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 $Q$. Ban{\~a}dos, 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 $Q\rightarrow 0$ reduce exactly to \emph{vis-$\grave{a}$-vis} those of the Kerr black hole.