Rotating Hayward’s regular black hole as particle accelerator

Abstract

Recently, Bañados, 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 takes place near the horizon. The rotating Hayward's regular black hole, apart from Mass (M ) and angular momentum (a), has a new parameter g (g > 0 is a constant) that provides a deviation from the Kerr black hole. We demonstrate that for each g, with M = 1, there exist critical a E and r E H , which corresponds to a regular extremal black hole with degenerate horizons, and a E decreases whereas r E H increases with increase in g. While a < a E describe a regular non-extremal black hole with outer and inner horizons. We apply the BSW process to the rotating Hayward's regular black hole, for different g, and demonstrate numerically that the E CM diverges in the vicinity of the horizon for the extremal cases thereby suggesting that a rotating regular black hole can also act as a particle accelerator and thus in turn provide a suitable framework for Plank-scale physics. For a non-extremal case, there always exist a finite upper bound for the E CM , which increases with the deviation parameter g.

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

“…In the case of the rotating regular black holes (M = 0), existence of the horizons is strongly dependent on the charge parameter. As in the case of the rotating Hayward [24], Bardeen [62] and ABG [22] non-singular spacetimes, in the case of the current rotating regular black holes, there are the upper limits on the values of the specific charge and rotation parameters in order for the spacetimes to represent black holes. Let us denote these limiting values as a critical values, q cr and a cr , which correspond to the border of the black hole (shaded) and no-horizon (white) regions in top panel of Fig.…”

“…All the subtleties of the nonlinear effects were discussed in [15][16][17][18]. Rotating regular black hole solutions have been introduced in [19][20][21][22][23][24]. Similarly to the Kerr or Reissner-Nordström solutions of the standard general relativity that describe both black holes and naked singularities, the regular solutions describe both the black hole and no-horizon spacetimes demonstrating strong gravity effects [25][26][27][28][29][30][31][32].…”

Quasinormal modes of the Hayward black hole surrounded by quintessence: scalar, electromagnetic and gravitational perturbations

“…Following the idea of the limiting curvature Hayward [26] proposed a static spherically symmetric BH that near the origin behaves like a de Sitter space-time, its curvature invariants being everywhere finite and satisfying the weak energy condition. Rotating Hayward has been studied in [27], and Hayward charged in [28]. Also, [29,30] studied the QNM of Hayward BH.…”

Structure of geodesics in the regular Hayward black hole space-time

“…Many researchers have done a lot of work around the regular Hayward black hole [4][5][6][7]. For ℓ = 0, the metric of the regular Hayward black hole will revert to the metric of Schwarzschild black hole.…”