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arXiv 1202.4859gr-qcastro-ph.HEhep-th
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弱电磁场对旋转黑洞加速粒子的影响

Effect of a Weak Electromagnetic Field on Particle Acceleration by a Rotating Black Hole

Takahisa Igata, Tomohiro Harada, Masashi Kimura

摘要:

研究了旋转黑洞周围电磁场中视界附近的高能带电粒子碰撞,揭示了获得任意大质心能量的微调条件.我们证明了当一个带电粒子从最内层稳定圆轨道(ISCO)坠落并在视界附近与另一个粒子碰撞时,当均匀磁化旋转的黑洞任意接近最大旋转时,CM能量可以任意大.最近,Frolov [Phys. Rev. D 85,024020(2012)]提出,如果磁场任意强,当粒子与在均匀磁化的史瓦西黑洞的视界附近以有限能量绕ISCO轨道运行的带电粒子碰撞时,CM能量可以任意高。我们表明,带电粒子轨道ISCO周围的旋转黑洞需要任意高的能量在强场限制。这表明弗罗洛夫的过程对黑洞的旋转是不稳定的。尽管如此,我们看到磁场可能会大大提高旋转黑洞在天体物理学情况下作为粒子加速器的能力。

英文摘要:

We study high energy charged particle collisions near the horizon in an electromagnetic field around a rotating black hole and reveal the condition of the fine-tuning to obtain arbitrarily large center-of-mass (CM) energy. We demonstrate that the CM energy can be arbitrarily large as the uniformly magnetized rotating black hole arbitrarily approaches maximal rotation under the situation that a charged particle plunges from the innermost stable circular orbit (ISCO) and collides with another particle near the horizon. Recently, Frolov [Phys. Rev. D 85, 024020 (2012)] proposed that the CM energy can be arbitrarily high if the magnetic field is arbitrarily strong, when a particle collides with a charged particle orbiting the ISCO with finite energy near the horizon of a uniformly magnetized Schwarzschild black hole. We show that the charged particle orbiting the ISCO around a spinning black hole needs arbitrarily high energy in the strong field limit. This suggests that Frolov's process is unstable against the black hole spin. Nevertheless, we see that magnetic fields may substantially promote the capability of rotating black holes as particle accelerators in astrophysical situations.

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