Horizon structure of rotating Bardeen black hole and particle acceleration

Sushant G. Ghosh; Muhammed Amir

doi:10.1140/epjc/s10052-015-3786-x

paper

Horizon structure of rotating Bardeen black hole and particle acceleration

arXiv:1506.04382 · doi:10.1140/epjc/s10052-015-3786-x

Abstract

We investigate the horizon structure and ergosphere in a rotating Bardeen regular black hole, which has an additional parameter ( $g$ ) due to magnetic charge, apart from mass ( $M$ ) and rotation parameter ( $a$ ). Interestingly, for each value of parameter $g$ , there exist a critical rotation parameter ( $a = a_{E}$ ), which corresponds to an extremal black hole with degenerate horizons, while for $a < a_{E}$ describes a non-extremal black hole with two horizons, and no black hole for $a > a_{E}$ . We find that the extremal value $a_{E}$ is also influenced by the parameter $g$ and so is the ergosphere. While the value of $a_{E}$ remarkably decreases when compared with the Kerr black hole, the ergosphere becomes more thick with increase in $g$ . We also study collision of two equal mass particle near the horizon of this black hole, and explicitly bring out the effect of parameter $g$ . The center-of-mass energy ( $E_{C M}$ ) not only depends on rotation parameter $a$ , but also on parameter $g$ . It is demonstrated that the $E_{C M}$ could be arbitrary high in the extremal cases when one of the colliding particle has critical angular momentum, thereby suggesting that the rotating Bardeen regular black hole can act as a particle accelerator.

12 pages, 11 figures, 4 tables, few changes and references added, accepted in EPJC

Horizon structure of rotating Bardeen black hole and particle acceleration

Abstract

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