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Abstract: It has recently been pointed out that the spinning Kerr black hole withmaximal spin could act as a particle collider with arbitrarily highcenter-of-mass energy. In this paper, we will extend the result to the chargedspinning black hole, the Kerr-Newman black hole. The center-of-mass energy ofcollision for two uncharged particles falling freely from rest at infinitydepends not only on the spin $a$ but also on the charge $Q$ of the black hole.We find that an unlimited center-of-mass energy can be approached with theconditions: 1 the collision takes place at the horizon of an extremal blackhole; 2 one of the colliding particles has critical angular momentum; 3 thespin $a$ of the extremal black hole satisfies $\frac{1}{\sqrt{3}}\leq\frac{a}{M}\leq 1$, where $M$ is the mass of the Kerr-Newman black hole. Thethird condition implies that to obtain an arbitrarily high energy, the extremalKerr-Newman black hole must have a large value of spin, which is a significantdifference between the Kerr and Kerr-Newman black holes. Furthermore, we alsoshow that, for a near-extremal black hole, there always exists a finite upperbound for center-of-mass energy, which decreases with the increase of thecharge $Q$.



Autor: Shao-Wen Wei, Yu-Xiao Liu, Heng Guo, Chun-E Fu

Fuente: https://arxiv.org/







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