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

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 $$g\ne 0$$ ; 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 the ergoregion increases with increasing values of g. Further, for each g, there exists a critical $$a_E$$ , which corresponds to a regular extremal black hole with degenerate horizons $$r=r^E_H$$ . $$a_E$$ decreases whereas $$r^E_H$$ increases with an increase in the parameter g. Banãdos, Silk, and West (BSW) demonstrated that the extremal Kerr black hole can act as a particle accelerator with arbitrarily high center-of-mass energy ( $$E_{\mathrm{CM}}$$ ) 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 the extremal Hayward’s black hole for different values of g, to show that $$E_{\mathrm{CM}}$$ is arbitrarily high when one of the particles takes a critical value of the angular momentum. Our result, in the limit $$g \rightarrow 0$$ , reduces to that of the Kerr black hole.

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