For any non-rotating effective quantum (uncharged) black hole model to be viable, its asymptotic structure of spacetime should reduce to that of a Schwarzschild black hole. After examining the asymptotic structure of quantum black holes proposed in Ashtekar et al., (2018), we find that the solution is actually not asymptotically flat. Departure from asymptotically flat spacetime is a direct consequence of the quantum parameters included in the model. Moreover, since the property of asymptotic flatness needs to be explicitly invoked, for instance, in relating the black hole and the white hole masses, it thereby raises a serious concern about the consistency of this model in view of the classical limit¹.

为了使任何非旋转有效量子（不带电）黑洞模型可行，其时空的渐近结构应减少到Schwarzschild黑洞的渐近结构。在检查了Ashtekar等人（2018）提出的量子黑洞的渐近结构后，我们发现该解实际上不是渐近平坦的。偏离渐近平坦的时空是模型中包含的量子参数的直接结果。此外，由于例如在将黑洞和白洞的质量联系起来时，需要明确地调用渐近平坦性的性质，因此鉴于经典极限¹，这引起了对该模型的一致性的严重关注。