Rotating Ayón-Beato-García black hole as a particle accelerator

We study the collision of two particles with equal masses moving in the equatorial plane near the horizon of the rotating regular Ayón-Beato-García (ABG) black hole (BH) and calculate the center-of-mass (CM) energy for the colliding particles for both extremal and nonextremal cases. It turns out that CM energy depends not only on rotation parameter $a$ but also on charge $Q$. Particularly for the extremal rotating regular ABG BH, the CM energy of two colliding particles could be arbitrarily high for the critical angular momentum of particles. Furthermore, we also show that, for a nonextremal BH, there exists a finite upper limit of CM energy, which changes with charge $Q$. A comparison with Kerr and Kerr-Newman black holes is included.

Figure 1

The behavior of the static limit surface ($g_{tt}$) vs $r$ for different values of $a$. The possibility of existence of the horizon decreases with increasing values of $Q$ and $a$.

Figure 2

The behavior of $g^{rr}$ vs $r$ for different values of $a$. Panel (a) shows $Q=0.1$. Panel (b) shows $Q=0.4$.

Figure 3

The behavior of $g^{rr}$ vs $r$. Panel (a) displays fixed $a=0.4$ and different values of $Q$. Panel (b) displays fixed $Q=0.65$ and different values of $a$.

Figure 4

The behavior of $g^{rr}$ vs $r$. Panel (a) shows $a=M=Q=0$. Panel (b) shows $M=1$, $a=0$, and different values of $Q$.

Figure 5

Plot showing the spin deformation parameter plane of a rotating ABG metric. The curve separates BH from no BH or a configuration without an event horizon (i.e., no real root of $\mathrm{\Delta }=0$).

Figure 6

The behavior of $\dot{r}$ vs $r$ for different values of $L$. Panel (a) displays extremal BH. Panel (b) displays nonextremal BH.

Figure 7

The behavior of $V_{\text{eff}}$ vs $r$. Panel (a) shows $Q=0.4$, $L=8$, and different values of $a$. Panel (b) shows $Q=0.4$, $a=0.6$, and different values of $L$.

Figure 8

The behavior of $E_{\mathrm{CM}}$ vs $r$ for an extremal BH. Panel (a) shows $a=0.980186499171$ and $Q=0.1$. Panel (b) shows extremal values of $a=0.70092837056$ and $Q=0.4$, where the vertical lines denote the location of the event horizon.

Figure 9

The behavior of $E_{\mathrm{CM}}$ vs $a$ for an extremal BH. Panel (a) shows different values of $L_1$ where the vertical line denotes the location of $a=0.980186499171$. Panel (b) shows different values of $L_1$ where the vertical line denotes the location of $a=0.70092837056$.

Figure 10

The behavior of $E_{\mathrm{CM}}$ vs $r$ for a nonextremal BH. Panel (a) shows $a=0.9$ and $Q=0.1$. Panel (b) shows $a=0.6$ and $Q=0.4$, where the vertical lines denote the location of the event horizon.

Figure 11

The behavior of $E_{\mathrm{CM}}$ vs $a$ for a nonextremal BH. Panel (a) displays different values of $L_1$ where the vertical line denotes the location of $a=0.9$. Panel (b) displays different values of $L_1$ where the vertical line denotes the location of $a=0.6$.

Figure 12

The behavior of $E_{\mathrm{CM}}$ vs $r$. Panel (a) shows different values of $Q$, where the vertical line denotes the location of $r=1.09464$. Panel (b) gives values for an extremal Kerr BH, where the vertical line denotes the location of the event horizon.

Figure 13

The behavior of $E_{\mathrm{CM}}$ vs $a$. Panel (a) shows different values of $Q$, where the vertical line denotes the location of $a=0.70092837056$. Panel (b) gives values for an extremal Kerr BH, where the vertical line denotes the location of $a=1$.