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

Muhammed Amir; Fazlay Ahmed; Sushant G. Ghosh

doi:10.1140/epjc/s10052-016-4365-5

paper

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

arXiv:1607.05063 · doi:10.1140/epjc/s10052-016-4365-5

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 $g \neq = 0$ , 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 ( $E_{C M}$ ) 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 $E_{C M}$ 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 $E_{C M}$ , which increases with the deviation parameter $g$ . Our results, in the limit $g \to 0$ , reduces to that of the Kerr black hole.

arXiv comment16 pages, 4 figures, 1 table

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

Abstract

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