标题： 施瓦茨希尔德黑洞的庞加莱回归 显示英文标题

标题： Poincare recurrences of Schwarzschild black holes

摘要： 我们讨论史瓦西黑洞的大量标量扰动。 我们认为量子效应改变了视界附近的有效势，导致格林函数中的庞加莱重现。 半经典层次的结果独立于势能修改的细节，只要其在视界附近的最小值与庞加莱时间的平方成反比。 这种修改可以看作是近视界几何的变化。 我们明确考虑了砖墙、平滑截断和虫洞类似修改的例子，表明它们在主导阶次下都导致相同的结果。 显示英文摘要

摘要： We discuss massive scalar perturbations of a Schwarzschild black hole. We argue that quantum effects alter the effective potential near the horizon resulting in Poincare recurrences in Green functions. Results at the semi-classical level are independent of the details of the modification of the potential provided its minimum near the horizon is inversely proportional to the square of the Poincare time. This modification may be viewed as a change in the near-horizon geometry. We consider explicitly the examples of a brick wall, a smooth cutoff and a wormhole-like modification showing that they all lead to the same results at leading order.