标题： 霍金辐射远离事件视界 显示英文标题

标题： Hawking radiation far away from the event horizon

摘要： 我们研究Vaidya时空中的粒子产生。 使用WKB近似，计算了霍金辐射的分布，而无需近视界近似，这导致了纯热谱的有限修正。 我们将分析扩展到极端和非极端的Reissner-Nordström和Kerr黑洞。 我们的结果可以用一个热力学简化的模型来理解，其中将霍金辐射视为黑洞外部观察者感知的厄克辐射。 此外，我们将该模型扩展以包含霍金量子对时空几何的反作用。 我们的研究表明，反作用可能阻止事件视界和时空奇点的形成。 显示英文摘要

摘要： We study particle production in Vaidya spacetime. Using the WKB approximation, the distribution of Hawking radiation is calculated without the near-horizon approximation, which leads to finite corrections to the purely thermal spectrum. We extend our analysis to extremal and non-extremal Reissner-Nordstr\"om and Kerr black holes. Our results can be understood in terms of a thermodynamic toy model, where one regards Hawking radiation as Unruh radiation perceived by observers outside of the black hole. Moreover, we extend the model to incorporate the backreaction of Hawking quanta on spacetime geometry. Our study suggests that the backreaction may prevent the formation of the event horizon and spacetime singularity.