We discuss the properties of the previously constructed model of a Schwarzschild black hole interior where the singularity is replaced by a regular bounce, ultimately leading to a white hole. We assume that the black hole is young enough so that the Hawking radiation may be neglected. The model is semiclassical in nature and uses as a source of gravity the effective stress-energy tensor (SET) corresponding to vacuum polarization of quantum fields, and the minimum spherical radius is a few orders of magnitude larger than the Planck length, so that the effects of quantum gravity should still be negligible. We estimate the other quantum contributions to the effective SET, caused by a nontrivial topology of spatial sections and particle production from vacuum due to a nonstationary gravitational field and show that these contributions are negligibly small as compared to the SET due to vacuum polarization. The same is shown for such classical phenomena as accretion of different kinds of matter to the black hole and its further motion to the would-be singularity. Thus, in a clear sense, our model of a semiclassical bounce instead of a Schwarzschild singularity is stable under both quantum and classical perturbations.

中文翻译：

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Schwarzschild内部的物质吸收与半古典反弹

我们讨论了先前构造的Schwarzschild黑洞内部模型的特性，其中奇异性由规则的弹跳代替，最终导致白洞。我们假设黑洞足够年轻，以至于可以忽略霍金辐射。该模型本质上是半经典的，并使用与量子场的真空极化相对应的有效应力-能量张量（SET）作为引力源，并且最小球面半径比普朗克长度大几个数量级，因此量子引力的影响仍然可以忽略不计。我们估算了对有效SET的其他量子贡献，由非平稳的重力场引起的空间截面的非平凡拓扑结构和真空产生的粒子，表明与真空极化引起的SET相比，这些贡献小到可以忽略不计。对于经典现象，例如在黑洞中吸收不同种类的物质，以及其向可能的奇点的进一步运动，也显示出相同的结果。因此，从明显的意义上说，我们的半经典反弹模型而不是Schwarzschild奇异模型在量子和经典扰动下都是稳定的。