Collision of two general geodesic particles around a Kerr black hole
Collision of two general geodesic particles around a Kerr black hole
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DOI：
10.1103/physrevd.83.084041
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发表时间：
2011-02
影响因子：
5
通讯作者：
T. Harada;M. Kimura
中科院分区：
文献类型：
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作者：
T. Harada;M. Kimura
我们获得了两个碰撞的一般测地有质量和无质量粒子在克尔黑洞周围任何时空点的质心（CM）能量的显式表达式。应用这一点，我们证明CM能量仅在视界极限内可以任意高，然后根据每个粒子的守恒量和极角推导出两个一般测地粒子在地平线附近碰撞的CM能量公式。我们根据每个粒子的守恒量提出了 CM 能量任意高的充分必要条件。为了获得任意高的 CM 能量，两个粒子中任何一个的角动量必须微调到临界值 Li = −1 H Ei，其中 H 是角速度
We obtain an explicit expression for the center-of-mass (CM) energy of two colliding general geodesic massive and massless particles at any spacetime point around a Kerr black hole. Applying this, we show that the CM energy can be arbitrarily high only in the limit to the horizon and then derive a formula for the CM energy of two general geodesic particles colliding near the horizon in terms of the conserved quantities of each particle and the polar angle. We present the necessary and sufficient condition for the CM energy to be arbitrarily high i n terms of the conserved quantities of each particle. To have an arbitrarily high CM energy, the angular momentum of either of the two particles must be fine-tuned to the critical value Li = −1 H Ei, where H is the angular velocity of