2016
DOI: 10.1103/physrevd.93.084025
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Kerr black holes as accelerators of spinning test particles

Abstract: It has been shown that ultraenergetic collisions can occur near the horizon of an extremal Kerr black hole. Previous studies mainly focused on geodesic motions of particles. In this paper, we consider spinning test particles whose orbits are non-geodesic. By employing the Mathisson-Papapetrou-Dixon equation, we find the critical angular momentum satisfies $J=2E$ for extremal Kerr black holes. Although the conserved angular momentum $J$ and energy $E$ have been redefined in the presence of spin, the critical co… Show more

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Cited by 43 publications
(51 citation statements)
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“…In order to simplify the calculation in the main text and easy to gain the physical insight, people usually working in a specific frame which only 3-components of the spin tensor is nonzero [9]. This add to the spin supplementary condition [9,10] S ab P b = 0 (2.5) or equivalently set S 0i = 0. Again for latter convenience, we normalize the parameter τ in Eq.…”
Section: )mentioning
confidence: 99%
“…In order to simplify the calculation in the main text and easy to gain the physical insight, people usually working in a specific frame which only 3-components of the spin tensor is nonzero [9]. This add to the spin supplementary condition [9,10] S ab P b = 0 (2.5) or equivalently set S 0i = 0. Again for latter convenience, we normalize the parameter τ in Eq.…”
Section: )mentioning
confidence: 99%
“…For the convenience of following discussion, we define 20) thus u a u a = −1. Furthermore, we consider the case when the motion of the particle was confined on the equatorial plane θ = π 2 , which means u (2) = 0.…”
Section: )mentioning
confidence: 99%
“…To describe the movement of spinning particles, we will employ the Mathisson-PapapetrouDixon equation [11,20]…”
Section: Motion Of Spinning Particle In Kerr-sen Black Hole Backgroundmentioning
confidence: 99%
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“…The collisions of spinning particles on rotating black holes in Ref. [26,27], and on Schwarzschild black holes was considered in Ref. [28]; however, the unavoidable appearance of superluminal motion and the change of trajectories from timelike to spacelike can be avoided due to the energy in the CM frame can grow unbounded provided that one of the particles is not exactly critical but slightly deviates from the critical trajectory [29].…”
mentioning
confidence: 99%