Collision of two general particles around a rotating regular Hayward's black holes

Abstract

The rotating regular Hayward's spacetime, apart from mass ($M$) and angular momentum ($a$), has an additional deviation parameter ($g$) due to the magnetic charge, which generalizes the Kerr black hole when $g\ne 0$, and for $g=0$, it goes over to the Kerr black hole. We analyze how the ergoregion is affected by the parameter $g$ to show that the area of ergoregion increases with increasing values of $g$. Further, for each $g$, there exist critical $a_E$, which corresponds to a regular extremal black hole with degenerate horizons $r=r_H^E$, and $a_E$ decrease whereas $r_H^E$ increases with an increase in the parameter $g$. Ban{ã}dos, Silk and West (BSW) demonstrated that the extremal Kerr black hole can act as a particle accelerator with arbitrarily high center-of-mass energy ($E_{CM}$) when the collision of two particles takes place near the horizon. We study the BSW process for two particles with different rest masses, $m_1$ and $m_2$, moving in the equatorial plane of extremal Hayward's black hole for different values of $g$, to show that $E_{CM}$ of two colliding particles is arbitrarily high when one of the particles takes a critical value of angular momentum. For a nonextremal case, there always exist a finite upper bound for the $E_{CM}$, which increases with the deviation parameter $g$. Our results, in the limit $g\to 0$, reduces to that of the Kerr black hole.

16 pages, 4 figures, 1 table

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• Universality of BSW mechanism for spinning particles
• Schwarzschild black hole surrounded by quintessential matter field as an accelerator for spinning particles
• Orbital motion of test particles in regular Hayward black hole space-time
• The Dirac and Klein-Gordon equations and Greybody Radiation for the Regular Hayward Black Hole