We describe in detail the quantum tunneling of massive particles from Kerr black hole by using complex trajectories, which are solutions to Hamilton’s equations of motion with imaginary proper time. The trajectories are smooth and cover the inner and outer horizon regions. Following the worldline approach, we compute the energy flux at the event horizon as a summation over these complex trajectories. The density of states is given with the aid of Carter’s constant, and it is shown to be linear in momenta in the leading order, as long as the phase portrait of the system stays uniform. Under this assumption, we obtain the thermal spectrum ～ ( T H + ) 4 .
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机译：我们使用复杂的轨迹详细描述了Kerr黑洞中大质量粒子的量子隧穿，这是对汉密尔顿假想运动时间方程的求解。轨迹是平滑的，并且覆盖了内部和外部地平线区域。遵循世界线方法，我们将事件视界处的能量通量计算为这些复杂轨迹的总和。状态密度是在卡特常数的帮助下给出的，只要系统的相像保持一致，就可以将矩以线性形式显示为领先。在此假设下，我们获得了热光谱〜（T H +）4。
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